11628800 has 108 divisors (see below), whose sum is σ = 30414720. Its totient is φ = 4392960.

The previous prime is 11628769. The next prime is 11628809. The reversal of 11628800 is 882611.

It is a self number, because there is not a number n which added to its sum of digits gives 11628800.

It is not an unprimeable number, because it can be changed into a prime (11628809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147161 + ... + 147239.

Almost surely, 2^11628800 is an apocalyptic number.

11628800 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 11628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207360).

11628800 is an abundant number, since it is smaller than the sum of its proper divisors (18785920).

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

11628800 is an equidigital number, since it uses as much as digits as its factorization.

11628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 11628800 is about 3410.1026377515. The cubic root of 11628800 is about 226.5574252530.

The spelling of 11628800 in words is "eleven million, six hundred twenty-eight thousand, eight hundred".