13520928 has 48 divisors (see below), whose sum is σ = 35804160. Its totient is φ = 4467456.

The previous prime is 13520921. The next prime is 13520953. The reversal of 13520928 is 82902531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13520895 and 13520904.

It is not an unprimeable number, because it can be changed into a prime (13520921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11638 + ... + 12746.

It is an arithmetic number, because the mean of its divisors is an integer number (745920).

Almost surely, 2^13520928 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 13520928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902080).

13520928 is an abundant number, since it is smaller than the sum of its proper divisors (22283232).

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

13520928 is a wasteful number, since it uses less digits than its factorization.

13520928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13520928 is about 3677.0814513687. The cubic root of 13520928 is about 238.2331354888.

The spelling of 13520928 in words is "thirteen million, five hundred twenty thousand, nine hundred twenty-eight".