13628376 has 96 divisors (see below), whose sum is σ = 39171600. Its totient is φ = 4273920.

The previous prime is 13628371. The next prime is 13628383. The reversal of 13628376 is 67382631.

It is a happy number.

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 13628376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628371) 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, 127315 + ... + 127421.

Almost surely, 2^13628376 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 13628376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585800).

13628376 is an abundant number, since it is smaller than the sum of its proper divisors (25543224).

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

13628376 is a wasteful number, since it uses less digits than its factorization.

13628376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13628376 is about 3691.6630398778. The cubic root of 13628376 is about 238.8625342318.

The spelling of 13628376 in words is "thirteen million, six hundred twenty-eight thousand, three hundred seventy-six".