It is normal, and it will never be so many ever again, so make the most of it! As others have said, just sift through at your leisure.
I don't understand why you are grossed out? It's Bumble, you get to call the shots. The guys are just swiping on people they like the look of (or everyone), it's not like they were lurking waiting to pounce on you in particular.
You are on a dating site and these are men who may want to date you - not sure that makes them vultures.