8628552100 has 81 divisors (see below), whose sum is σ = 21797356833. Its totient is φ = 2956131360.

The previous prime is 8628552041. The next prime is 8628552133. The reversal of 8628552100 is 12558268.

The square root of 8628552100 is 92890.

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

It can be written as a sum of positive squares in only one way, i.e., 3106278756 + 5522273344 = 55734^2 + 74312^2 .

It is a super-2 number, since 2×8628552100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8628552100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6501637 + ... + 6502963.

Almost surely, 2^8628552100 is an apocalyptic number.

8628552100 is the 92890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8628552100

8628552100 is an abundant number, since it is smaller than the sum of its proper divisors (13168804733).

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

8628552100 is a wasteful number, since it uses less digits than its factorization.

8628552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The cubic root of 8628552100 is about 2051.0644561121.

The spelling of 8628552100 in words is "eight billion, six hundred twenty-eight million, five hundred fifty-two thousand, one hundred".