13628900 has 36 divisors (see below), whose sum is σ = 31318308. Its totient is φ = 5130240.

The previous prime is 13628899. The next prime is 13628921. The reversal of 13628900 is 982631.

It can be written as a sum of positive squares in 6 ways, for example, as 27556 + 13601344 = 166^2 + 3688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2309 + ... + 5708.

It is an arithmetic number, because the mean of its divisors is an integer number (869953).

Almost surely, 2^13628900 is an apocalyptic number.

13628900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13628900 is an abundant number, since it is smaller than the sum of its proper divisors (17689408).

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

13628900 is a wasteful number, since it uses less digits than its factorization.

13628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 13628900 is about 3691.7340099200. The cubic root of 13628900 is about 238.8655955495.

The spelling of 13628900 in words is "thirteen million, six hundred twenty-eight thousand, nine hundred".