12528400 has 30 divisors (see below), whose sum is σ = 30100442. Its totient is φ = 5011200.

The previous prime is 12528379. The next prime is 12528403. The reversal of 12528400 is 482521.

12528400 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 913936 + 11614464 = 956^2 + 3408^2 .

It is not an unprimeable number, because it can be changed into a prime (12528403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15261 + ... + 16060.

Almost surely, 2^12528400 is an apocalyptic number.

12528400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12528400 is an abundant number, since it is smaller than the sum of its proper divisors (17572042).

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

12528400 is a wasteful number, since it uses less digits than its factorization.

12528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31339 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12528400 is about 3539.5479937416. The cubic root of 12528400 is about 232.2550702355.

The spelling of 12528400 in words is "twelve million, five hundred twenty-eight thousand, four hundred".