828621900 has 90 divisors (see below), whose sum is σ = 2686091100. Its totient is φ = 220963680.

The previous prime is 828621887. The next prime is 828621947. The reversal of 828621900 is 9126828.

828621900 is a `hidden beast` number, since 8 + 28 + 621 + 9 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×828621900² = 1373228506319220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 43050 + ... + 59249.

Almost surely, 2^828621900 is an apocalyptic number.

It is an amenable number.

828621900 is an abundant number, since it is smaller than the sum of its proper divisors (1857469200).

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

828621900 is a wasteful number, since it uses less digits than its factorization.

828621900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102325 (or 102309 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 828621900 is about 28785.7933710363. The cubic root of 828621900 is about 939.2592247386.

The spelling of 828621900 in words is "eight hundred twenty-eight million, six hundred twenty-one thousand, nine hundred".