13395728 has 30 divisors (see below), whose sum is σ = 27580266. Its totient is φ = 6301696.

The previous prime is 13395727. The next prime is 13395737. The reversal of 13395728 is 82759331.

It can be written as a sum of positive squares in 3 ways, for example, as 2715904 + 10679824 = 1648^2 + 3268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13395691 and 13395700.

It is not an unprimeable number, because it can be changed into a prime (13395727) 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, 3176 + ... + 6072.

Almost surely, 2^13395728 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 13395728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790133).

13395728 is an abundant number, since it is smaller than the sum of its proper divisors (14184538).

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

13395728 is a wasteful number, since it uses less digits than its factorization.

13395728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2916 counting only the distinct ones).

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

The square root of 13395728 is about 3660.0174862970. The cubic root of 13395728 is about 237.4955301098.

The spelling of 13395728 in words is "thirteen million, three hundred ninety-five thousand, seven hundred twenty-eight".