13715328 has 128 divisors (see below), whose sum is σ = 42301440. Its totient is φ = 3891200.

The previous prime is 13715327. The next prime is 13715333. The reversal of 13715328 is 82351731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13715328² = 376220444295168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13715295 and 13715304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13715327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71713 + ... + 71903.

It is an arithmetic number, because the mean of its divisors is an integer number (330480).

Almost surely, 2^13715328 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 13715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

13715328 is an abundant number, since it is smaller than the sum of its proper divisors (28586112).

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

13715328 is a wasteful number, since it uses less digits than its factorization.

13715328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 13715328 is about 3703.4211210717. The cubic root of 13715328 is about 239.3694559544.

The spelling of 13715328 in words is "thirteen million, seven hundred fifteen thousand, three hundred twenty-eight".