12528800 has 36 divisors (see below), whose sum is σ = 30587886. Its totient is φ = 5011200.

The previous prime is 12528793. The next prime is 12528823. The reversal of 12528800 is 882521.

12528800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12082576 + 446224 = 3476^2 + 668^2 .

It is a hoax number, since the sum of its digits (26) 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 12528800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7031 + ... + 8630.

Almost surely, 2^12528800 is an apocalyptic number.

12528800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12528800 is an abundant number, since it is smaller than the sum of its proper divisors (18059086).

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

12528800 is a wasteful number, since it uses less digits than its factorization.

12528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15681 (or 15668 counting only the distinct ones).

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

The square root of 12528800 is about 3539.6044976805. The cubic root of 12528800 is about 232.2575419808.

The spelling of 12528800 in words is "twelve million, five hundred twenty-eight thousand, eight hundred".