13528836 has 72 divisors (see below), whose sum is σ = 37124640. Its totient is φ = 4259952.

The previous prime is 13528831. The next prime is 13528843. The reversal of 13528836 is 63882531.

13528836 = T₃₂₅ + T₃₂₆ + ... + T₄₈₆.

13528836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13528836.

It is not an unprimeable number, because it can be changed into a prime (13528831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38815 + ... + 39161.

It is an arithmetic number, because the mean of its divisors is an integer number (515620).

Almost surely, 2^13528836 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 13528836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562320).

13528836 is an abundant number, since it is smaller than the sum of its proper divisors (23595804).

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

13528836 is a wasteful number, since it uses less digits than its factorization.

13528836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 371 counting only the distinct ones).

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

The square root of 13528836 is about 3678.1566035176. The cubic root of 13528836 is about 238.2795716621.

The spelling of 13528836 in words is "thirteen million, five hundred twenty-eight thousand, eight hundred thirty-six".