13528840 has 32 divisors (see below), whose sum is σ = 32782680. Its totient is φ = 4995072.

The previous prime is 13528831. The next prime is 13528843. The reversal of 13528840 is 4882531.

13528840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10150596 + 3378244 = 3186^2 + 1838^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13528843) 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, 12489 + ... + 13528.

Almost surely, 2^13528840 is an apocalyptic number.

13528840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13528840 is an abundant number, since it is smaller than the sum of its proper divisors (19253840).

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

13528840 is a wasteful number, since it uses less digits than its factorization.

13528840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26041 (or 26037 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 13528840 is about 3678.1571472682. The cubic root of 13528840 is about 238.2795951457.

The spelling of 13528840 in words is "thirteen million, five hundred twenty-eight thousand, eight hundred forty".