13628232 has 48 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 4514400.

The previous prime is 13628227. The next prime is 13628257. The reversal of 13628232 is 23282631.

13628232 is a `hidden beast` number, since 1 + 3 + 628 + 2 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13628196 and 13628205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13257 + ... + 14247.

It is an arithmetic number, because the mean of its divisors is an integer number (773760).

Almost surely, 2^13628232 is an apocalyptic number.

13628232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13628232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

13628232 is an abundant number, since it is smaller than the sum of its proper divisors (23512248).

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

13628232 is a wasteful number, since it uses less digits than its factorization.

13628232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13628232 is about 3691.6435364211. The cubic root of 13628232 is about 238.8616929399.

The spelling of 13628232 in words is "thirteen million, six hundred twenty-eight thousand, two hundred thirty-two".