99328800 has 72 divisors (see below), whose sum is σ = 323323056. Its totient is φ = 26487040.

The previous prime is 99328769. The next prime is 99328861. The reversal of 99328800 is 882399.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18294 + ... + 23093.

It is an arithmetic number, because the mean of its divisors is an integer number (4490598).

Almost surely, 2^99328800 is an apocalyptic number.

It is an amenable number.

99328800 is an abundant number, since it is smaller than the sum of its proper divisors (223994256).

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

99328800 is a wasteful number, since it uses less digits than its factorization.

99328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41410 (or 41397 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 99328800 is about 9966.3834965347. The cubic root of 99328800 is about 463.1180730951.

It can be divided in two parts, 99328 and 800, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 99328800 in words is "ninety-nine million, three hundred twenty-eight thousand, eight hundred".