This verb can also mean the following: assail, cover, bury under, strew, bombard, begin, load with, drop off to sleep, bombard with, fall asleep, pour into, begin to pour, fall, heap upon, shower, lavish on, smother, overwhelm, besiege, pour, lavish, smother a baby in sleep, engulf.
This verb's imperfective counterparts:
засыпать,
засыпать,
заснуть,
заспать