23152800 has 144 divisors (see below), whose sum is σ = 82307232. Its totient is φ = 5606400.

The previous prime is 23152781. The next prime is 23152807. The reversal of 23152800 is 825132.

It is a super-3 number, since 3×23152800³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23152807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25962 + ... + 26838.

It is an arithmetic number, because the mean of its divisors is an integer number (571578).

Almost surely, 2^23152800 is an apocalyptic number.

23152800 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 23152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41153616).

23152800 is an abundant number, since it is smaller than the sum of its proper divisors (59154432).

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

23152800 is a wasteful number, since it uses less digits than its factorization.

23152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 23152800 is about 4811.7356535870. The cubic root of 23152800 is about 285.0150807655.

Adding to 23152800 its reverse (825132), we get a palindrome (23977932).

It can be divided in two parts, 2315 and 2800, that added together give a palindrome (5115).

The spelling of 23152800 in words is "twenty-three million, one hundred fifty-two thousand, eight hundred".