13657728 has 64 divisors (see below), whose sum is σ = 41469120. Its totient is φ = 3901440.

The previous prime is 13657691. The next prime is 13657739. The reversal of 13657728 is 82775631.

It is a tau number, because it is divible by the number of its divisors (64).

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, 148 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (647955).

Almost surely, 2^13657728 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 13657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734560).

13657728 is an abundant number, since it is smaller than the sum of its proper divisors (27811392).

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

13657728 is an equidigital number, since it uses as much as digits as its factorization.

13657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5093 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 13657728 is about 3695.6363457462. The cubic root of 13657728 is about 239.0338939927.

The spelling of 13657728 in words is "thirteen million, six hundred fifty-seven thousand, seven hundred twenty-eight".