13572828 has 36 divisors (see below), whose sum is σ = 34515208. Its totient is φ = 4497120.

The previous prime is 13572809. The next prime is 13572833. The reversal of 13572828 is 82827531.

13572828 is a `hidden beast` number, since 1 + 3 + 572 + 82 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13572792 and 13572801.

It is a congruent number.

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, 5475 + ... + 7557.

Almost surely, 2^13572828 is an apocalyptic number.

13572828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13572828 is an abundant number, since it is smaller than the sum of its proper divisors (20942380).

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

13572828 is a wasteful number, since it uses less digits than its factorization.

13572828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2269 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13572828 is about 3684.1319194622. The cubic root of 13572828 is about 238.5375651179.

It can be divided in two parts, 13572 and 828, that added together give a square (14400 = 120²).

The spelling of 13572828 in words is "thirteen million, five hundred seventy-two thousand, eight hundred twenty-eight".