13935328 has 72 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 6124800.

The previous prime is 13935319. The next prime is 13935349. The reversal of 13935328 is 82353931.

It is a junction number, because it is equal to n+sod(n) for n = 13935293 and 13935302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228418 + ... + 228478.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 2^13935328 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 13935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

13935328 is an abundant number, since it is smaller than the sum of its proper divisors (17234552).

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

13935328 is a wasteful number, since it uses less digits than its factorization.

13935328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 13935328 is about 3733.0052236770. The cubic root of 13935328 is about 240.6425374973.

The spelling of 13935328 in words is "thirteen million, nine hundred thirty-five thousand, three hundred twenty-eight".