23438800 has 120 divisors (see below), whose sum is σ = 70299072. Its totient is φ = 7296000.

The previous prime is 23438791. The next prime is 23438819. The reversal of 23438800 is 883432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30420 + ... + 31180.

Almost surely, 2^23438800 is an apocalyptic number.

23438800 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 23438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35149536).

23438800 is an abundant number, since it is smaller than the sum of its proper divisors (46860272).

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

23438800 is a wasteful number, since it uses less digits than its factorization.

23438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 23438800 is about 4841.3634443202. The cubic root of 23438800 is about 286.1838516641.

The spelling of 23438800 in words is "twenty-three million, four hundred thirty-eight thousand, eight hundred".