30864528 has 60 divisors (see below), whose sum is σ = 90143040. Its totient is φ = 9839808.

The previous prime is 30864521. The next prime is 30864529. The reversal of 30864528 is 82546803.

30864528 is a `hidden beast` number, since 3 + 0 + 8 + 645 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30864492 and 30864501.

It is not an unprimeable number, because it can be changed into a prime (30864521) by changing a digit.

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, 1348 + ... + 7971.

It is an arithmetic number, because the mean of its divisors is an integer number (1502384).

Almost surely, 2^30864528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30864528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45071520).

30864528 is an abundant number, since it is smaller than the sum of its proper divisors (59278512).

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

30864528 is a wasteful number, since it uses less digits than its factorization.

30864528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 30864528 is about 5555.5852976982. The cubic root of 30864528 is about 313.6797958298.

The spelling of 30864528 in words is "thirty million, eight hundred sixty-four thousand, five hundred twenty-eight".