325628100 has 180 divisors, whose sum is σ = 1206561664. Its totient is φ = 74416320.

The previous prime is 325628087. The next prime is 325628111. The reversal of 325628100 is 1826523.

325628100 is a `hidden beast` number, since 3 + 25 + 628 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×325628100² = 212067319019220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53829 + ... + 59571.

Almost surely, 2^325628100 is an apocalyptic number.

325628100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603280832).

325628100 is an abundant number, since it is smaller than the sum of its proper divisors (880933564).

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

325628100 is a wasteful number, since it uses less digits than its factorization.

325628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 325628100 is about 18045.1683283920. The cubic root of 325628100 is about 687.9770617240.

The spelling of 325628100 in words is "three hundred twenty-five million, six hundred twenty-eight thousand, one hundred".