30528900 has 90 divisors (see below), whose sum is σ = 98988890. Its totient is φ = 8138880.

The previous prime is 30528899. The next prime is 30528913. The reversal of 30528900 is 982503.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 25220484 = 2304^2 + 5022^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 6216 + ... + 9984.

Almost surely, 2^30528900 is an apocalyptic number.

30528900 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 30528900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49494445).

30528900 is an abundant number, since it is smaller than the sum of its proper divisors (68459990).

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

30528900 is a wasteful number, since it uses less digits than its factorization.

30528900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 30528900 is about 5525.2963721415. The cubic root of 30528900 is about 312.5386405552.

The spelling of 30528900 in words is "thirty million, five hundred twenty-eight thousand, nine hundred".