13528120 has 16 divisors (see below), whose sum is σ = 30438360. Its totient is φ = 5411232.

The previous prime is 13528093. The next prime is 13528129. The reversal of 13528120 is 2182531.

13528120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13528091 and 13528100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169062 + ... + 169141.

Almost surely, 2^13528120 is an apocalyptic number.

13528120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13528120 is an abundant number, since it is smaller than the sum of its proper divisors (16910240).

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

13528120 is a wasteful number, since it uses less digits than its factorization.

13528120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338214 (or 338210 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 13528120 is about 3678.0592708655. The cubic root of 13528120 is about 238.2753680193.

The spelling of 13528120 in words is "thirteen million, five hundred twenty-eight thousand, one hundred twenty".