13580728 has 32 divisors (see below), whose sum is σ = 30044160. Its totient is φ = 5631840.

The previous prime is 13580713. The next prime is 13580731. The reversal of 13580728 is 82708531.

It is a junction number, because it is equal to n+sod(n) for n = 13580693 and 13580702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2176 + ... + 5647.

It is an arithmetic number, because the mean of its divisors is an integer number (938880).

Almost surely, 2^13580728 is an apocalyptic number.

It is an amenable number.

13580728 is an abundant number, since it is smaller than the sum of its proper divisors (16463432).

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

13580728 is a wasteful number, since it uses less digits than its factorization.

13580728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 13580728 is about 3685.2039292283. The cubic root of 13580728 is about 238.5838360270.

The spelling of 13580728 in words is "thirteen million, five hundred eighty thousand, seven hundred twenty-eight".