13628800 has 48 divisors (see below), whose sum is σ = 33675300. Its totient is φ = 5450240.

The previous prime is 13628773. The next prime is 13628801. The reversal of 13628800 is 882631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1071 + ... + 5329.

Almost surely, 2^13628800 is an apocalyptic number.

13628800 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 13628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837650).

13628800 is an abundant number, since it is smaller than the sum of its proper divisors (20046500).

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

13628800 is an equidigital number, since it uses as much as digits as its factorization.

13628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 13628800 is about 3691.7204661242. The cubic root of 13628800 is about 238.8650113346.

The spelling of 13628800 in words is "thirteen million, six hundred twenty-eight thousand, eight hundred".