28531600 has 30 divisors (see below), whose sum is σ = 68548130. Its totient is φ = 11412480.

The previous prime is 28531589. The next prime is 28531603. The reversal of 28531600 is 613582.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 28344976 = 432^2 + 5324^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28531603) 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 5 ways as a sum of consecutive naturals, for example, 35265 + ... + 36064.

Almost surely, 2^28531600 is an apocalyptic number.

28531600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28531600 is an abundant number, since it is smaller than the sum of its proper divisors (40016530).

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

28531600 is a wasteful number, since it uses less digits than its factorization.

28531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71347 (or 71336 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 28531600 is about 5341.4979172513. The cubic root of 28531600 is about 305.5685890982.

The spelling of 28531600 in words is "twenty-eight million, five hundred thirty-one thousand, six hundred".