23428800 has 126 divisors (see below), whose sum is σ = 83322668. Its totient is φ = 6243840.

The previous prime is 23428799. The next prime is 23428817. The reversal of 23428800 is 882432.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13587 + ... + 15213.

Almost surely, 2^23428800 is an apocalyptic number.

23428800 is a gapful number since it is divisible by the number (20) 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 23428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41661334).

23428800 is an abundant number, since it is smaller than the sum of its proper divisors (59893868).

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

23428800 is a wasteful number, since it uses less digits than its factorization.

23428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23428800 is about 4840.3305672237. The cubic root of 23428800 is about 286.1431464288.

The spelling of 23428800 in words is "twenty-three million, four hundred twenty-eight thousand, eight hundred".