13579328 has 56 divisors (see below), whose sum is σ = 32625792. Its totient is φ = 5474304.

The previous prime is 13579309. The next prime is 13579331. The reversal of 13579328 is 82397531.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 13579291 and 13579300.

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, 6725 + ... + 8507.

Almost surely, 2^13579328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13579328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312896).

13579328 is an abundant number, since it is smaller than the sum of its proper divisors (19046464).

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

13579328 is a wasteful number, since it uses less digits than its factorization.

13579328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1809 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 13579328 is about 3685.0139755502. The cubic root of 13579328 is about 238.5756374275.

The spelling of 13579328 in words is "thirteen million, five hundred seventy-nine thousand, three hundred twenty-eight".