Stacked-plate heat exchanger, in particular for a charge air cooler, having a plurality of stacked plates stacked on top of one another (14, 16, 18), - wherein respectively a first stacked plated (14, 16) and a second stacked plate (14, 18) are stacked on top of one another alternately in a stacking direction, - wherein the stacked plates (14, 16, 18) respectively have a peripheral edge arranged in a stacking direction, - wherein two adjacent stacked plates (14, 16, 18) adjoin each other respectively at least with their edge, - wherein respectively two adjacent stacked plates (14, 16, 18) delimit a first cavity (22, 24) for passing a first fluid, or a second cavity (22, 26) for passing a second fluid, wherein first cavities and second cavities alternate in the stacking direction, - wherein the stacked-plate heat exchanger has a support device which supports the stacked plates (14, 16, 18) against each other in an edge region of the stacked plates (14, 16, 18) in order to stabilise the second cavity (22, 26) between the stacked plates (14, 16, 18), - wherein the stacked plates (14, 16, 18), at end regions located in the longitudinal direction, have respectively a first opening for the first fluid and respectively at least two second openings for the second fluid arranged around the first openings, - wherein at least a part of the second cavity (22, 26) is formed in a region of the at least two second openings between the stacked plates (14, 16, 18), - wherein the support device is disposed in the region of the at least two second openings, - wherein webs are formed between the second openings, and characterised - in that at least some of the webs are embossed, so that the embossed webs protrude into the second cavity (22, 26) and abut an embossed web of the adjacent stacked plate (14, 16, 18) to form the support device. - wherein respectively a first stacked plated (14, 16) and a second stacked plate (14, 18) are stacked on top of one another alternately in a stacking direction, - wherein the stacked plates (14, 16, 18) respectively have a peripheral edge arranged in a stacking direction, - wherein two adjacent stacked plates (14, 16, 18) adjoin each other respectively at least with their edge, - wherein respectively two adjacent stacked plates (14, 16, 18) delimit a first cavity (22, 24) for passing a first fluid, or a second cavity (22, 26) for passing a second fluid, wherein first cavities and second cavities alternate in the stacking direction, - wherein the stacked-plate heat exchanger has a support device which supports the stacked plates (14, 16, 18) against each other in an edge region of the stacked plates (14, 16, 18) in order to stabilise the second cavity (22, 26) between the stacked plates (14, 16, 18), - wherein the stacked plates (14, 16, 18), at end regions located in the longitudinal direction, have respectively a first opening for the first fluid and respectively at least two second openings for the second fluid arranged around the first openings, - wherein at least a part of the second cavity (22, 26) is formed in a region of the at least two second openings between the stacked plates (14, 16, 18), - wherein the support device is disposed in the region of the at least two second openings, - wherein webs are formed between the second openings, and characterised - in that at least some of the webs are embossed, so that the embossed webs protrude into the second cavity (22, 26) and abut an embossed web of the adjacent stacked plate (14, 16, 18) to form the support device.