For such a fairly mild-smelling food, eggs can leave behind quite a potent odor, particularly on dishes. It doesn't matter which way they are prepared, from boiled to scrambled to sunny side up, if you don't properly wash your dishes, there is no mistaking it when you've had eggs on them. Consider a few tips to get the egg smell off your dishes.
Soak dishes in hot, soapy water. The hot water will help to get the residue off the dishes, so that once you wash and rinse, there will be no remaining egg to stink up your dishes. Allow the dishes to soak for several minutes, or until the water starts cooling.
Scrub your dishes with a hard scrub pad. The main culprit of a leftover egg smell is leftover food -- sometimes so miniscule you can't even see it. If you scrub each dish entirely, you are sure to get off all of the food. If you aren't sure whether you got it all, run a hand lightly over the dish, feeling for leftover egg particles.
Wash once again with a sponge and dish detergent. The detergent will leave your dishes smelling clean and pleasant -- with whatever scent the detergent has in it -- and you can be satisfied that your dishes are cleaned properly. Dry the dishes right away with a clean and dry dish rag before putting them away.
The egg smell may be coming from your water and not the actual eggs you ate on the dishes. If this is the case, you might want to have your water tested for contaminants, particularly if it smells like rotten boiled eggs. This is usually from sulfur.