Yes, the whites of your eyes, known as the sclera, can get sunburned, although it's more common for the cornea and conjunctiva to be affected by UV radiation. Prolonged exposure to intense sunlight without adequate eye protection can lead to a condition known as photokeratitis, which is essentially a sunburn of the eyes. It's crucial to wear sunglasses with UV protection, especially in environments with increased UV exposure like beaches or snowy terrains. If someone suspects their eyes have been sunburned, they should seek advice from an optometrist or eye doctor to ensure proper care.