96628900 has 27 divisors (see below), whose sum is σ = 209898241. Its totient is φ = 38612240.

The previous prime is 96628897. The next prime is 96628913. The reversal of 96628900 is 982669.

It is a happy number.

The square root of 96628900 is 9830.

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., 34786404 + 61842496 = 5898^2 + 7864^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 97809 + ... + 98791.

Almost surely, 2^96628900 is an apocalyptic number.

96628900 is the 9830-th square number.

It is an amenable number.

96628900 is an abundant number, since it is smaller than the sum of its proper divisors (113269341).

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

96628900 is an equidigital number, since it uses as much as digits as its factorization.

96628900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 96628900 is about 458.8833976165.

Multiplying 96628900 by its product of nonzero digits (46656), we get a square (4508317958400 = 2123280²).

The spelling of 96628900 in words is "ninety-six million, six hundred twenty-eight thousand, nine hundred".