13628700 has 108 divisors (see below), whose sum is σ = 45023160. Its totient is φ = 3438720.

The previous prime is 13628653. The next prime is 13628707. The reversal of 13628700 is 782631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16702 + ... + 17498.

Almost surely, 2^13628700 is an apocalyptic number.

13628700 is a gapful number since it is divisible by the number (10) 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 13628700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511580).

13628700 is an abundant number, since it is smaller than the sum of its proper divisors (31394460).

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

13628700 is a wasteful number, since it uses less digits than its factorization.

13628700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13628700 is about 3691.7069222786. The cubic root of 13628700 is about 238.8644271169.

The spelling of 13628700 in words is "thirteen million, six hundred twenty-eight thousand, seven hundred".