13628952 has 32 divisors (see below), whose sum is σ = 37858800. Its totient is φ = 4542912.

The previous prime is 13628929. The next prime is 13628957. The reversal of 13628952 is 25982631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628957) 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, 31333 + ... + 31764.

Almost surely, 2^13628952 is an apocalyptic number.

13628952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13628952 is an abundant number, since it is smaller than the sum of its proper divisors (24229848).

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

13628952 is a wasteful number, since it uses less digits than its factorization.

13628952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63112 (or 63102 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13628952 is about 3691.7410526742. The cubic root of 13628952 is about 238.8658993401.

The spelling of 13628952 in words is "thirteen million, six hundred twenty-eight thousand, nine hundred fifty-two".