13595328 has 42 divisors (see below), whose sum is σ = 38970204. Its totient is φ = 4531584.

The previous prime is 13595321. The next prime is 13595333. The reversal of 13595328 is 82359531.

13595328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13595292 and 13595301.

It is not an unprimeable number, because it can be changed into a prime (13595321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11226 + ... + 12377.

It is an arithmetic number, because the mean of its divisors is an integer number (927862).

Almost surely, 2^13595328 is an apocalyptic number.

13595328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13595328 is an abundant number, since it is smaller than the sum of its proper divisors (25374876).

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

13595328 is a wasteful number, since it uses less digits than its factorization.

13595328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23621 (or 23608 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 13595328 is about 3687.1842915699. The cubic root of 13595328 is about 238.6693021497.

It can be divided in two parts, 135953 and 28, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 13595328 in words is "thirteen million, five hundred ninety-five thousand, three hundred twenty-eight".