13629288 has 32 divisors (see below), whose sum is σ = 34171200. Its totient is φ = 4530048.

The previous prime is 13629281. The next prime is 13629299. The reversal of 13629288 is 88292631.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13629281) 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, 11508 + ... + 12636.

It is an arithmetic number, because the mean of its divisors is an integer number (1067850).

Almost surely, 2^13629288 is an apocalyptic number.

It is an amenable number.

13629288 is an abundant number, since it is smaller than the sum of its proper divisors (20541912).

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

13629288 is a wasteful number, since it uses less digits than its factorization.

13629288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1637 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 13629288 is about 3691.7865593775. The cubic root of 13629288 is about 238.8678622761.

The spelling of 13629288 in words is "thirteen million, six hundred twenty-nine thousand, two hundred eighty-eight".