528082100 has 72 divisors (see below), whose sum is σ = 1410409728. Its totient is φ = 167126400.

The previous prime is 528082099. The next prime is 528082111. The reversal of 528082100 is 1280825.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 528082100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19916 + ... + 38115.

It is an arithmetic number, because the mean of its divisors is an integer number (19589024).

Almost surely, 2^528082100 is an apocalyptic number.

528082100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

528082100 is an abundant number, since it is smaller than the sum of its proper divisors (882327628).

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

528082100 is a wasteful number, since it uses less digits than its factorization.

528082100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58065 (or 58058 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 528082100 is about 22980.0369886560. The cubic root of 528082100 is about 808.2898941005.

The spelling of 528082100 in words is "five hundred twenty-eight million, eighty-two thousand, one hundred".