30628880 has 20 divisors (see below), whose sum is σ = 71212332. Its totient is φ = 12251520.

The previous prime is 30628879. The next prime is 30628921. The reversal of 30628880 is 8882603.

It can be written as a sum of positive squares in 2 ways, for example, as 18905104 + 11723776 = 4348^2 + 3424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30628880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191351 + ... + 191510.

Almost surely, 2^30628880 is an apocalyptic number.

It is an amenable number.

30628880 is an abundant number, since it is smaller than the sum of its proper divisors (40583452).

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

30628880 is a wasteful number, since it uses less digits than its factorization.

30628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382874 (or 382868 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 30628880 is about 5534.3364552582. The cubic root of 30628880 is about 312.8794494714.

The spelling of 30628880 in words is "thirty million, six hundred twenty-eight thousand, eight hundred eighty".