33628516980100 has 243 divisors, whose sum is σ = 87283245294063. Its totient is φ = 11213151304320.

The previous prime is 33628516980077. The next prime is 33628516980109. The reversal of 33628516980100 is 108961582633.

The square root of 33628516980100 is 5799010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3192375505284 + 30436141474816 = 1786722^2 + 5516896^2 .

It is a super-2 number, since 2×33628516980100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33628516980109) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15019434781 + ... + 15019437019.

Almost surely, 2^{33628516980100} is an apocalyptic number.

33628516980100 is the 5799010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33628516980100

33628516980100 is an abundant number, since it is smaller than the sum of its proper divisors (53654728313963).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33628516980100 is an equidigital number, since it uses as much as digits as its factorization.

33628516980100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 33628516980100 in words is "thirty-three trillion, six hundred twenty-eight billion, five hundred sixteen million, nine hundred eighty thousand, one hundred".