your quesiton is as ambiguous as how many people can fit in a car/suv?
ASUS makes more then 1 model/configuration of laptop so a $200 sepcial with 32GB of disk space and 1-2GB of memory is very different from medium end models which is different from high end models.
There is no specific issue with having a large number of browsers, the only issue is your hard drive space and how much system memory you have to run the tabs of those browsers. Most of my machines have edge, legacy IE, chrome and firefox with zero problems.
Is this a generic quesiton, or do you have a specific problem?