13528944 has 200 divisors, whose sum is σ = 46632432. Its totient is φ = 3732480.

The previous prime is 13528913. The next prime is 13529003. The reversal of 13528944 is 44982531.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13528899 and 13528908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185292 + ... + 185364.

Almost surely, 2^13528944 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 13528944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23316216).

13528944 is an abundant number, since it is smaller than the sum of its proper divisors (33103488).

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

13528944 is a wasteful number, since it uses less digits than its factorization.

13528944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13528944 is about 3678.1712847555. The cubic root of 13528944 is about 238.2802057183.

It can be divided in two parts, 1352 and 8944, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 13528944 in words is "thirteen million, five hundred twenty-eight thousand, nine hundred forty-four".