13628544 has 32 divisors (see below), whose sum is σ = 36201840. Its totient is φ = 4542720.

The previous prime is 13628539. The next prime is 13628551. The reversal of 13628544 is 44582631.

13628544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17362 + ... + 18129.

Almost surely, 2^13628544 is an apocalyptic number.

It is an amenable number.

13628544 is an abundant number, since it is smaller than the sum of its proper divisors (22573296).

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

13628544 is an equidigital number, since it uses as much as digits as its factorization.

13628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35508 (or 35496 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 13628544 is about 3691.6857937804. The cubic root of 13628544 is about 238.8635157315.

It can be divided in two parts, 136 and 28544, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 13628544 in words is "thirteen million, six hundred twenty-eight thousand, five hundred forty-four".