23052800 has 60 divisors (see below), whose sum is σ = 57146826. Its totient is φ = 9216000.

The previous prime is 23052779. The next prime is 23052803. The reversal of 23052800 is 825032.

It can be written as a sum of positive squares in 3 ways, for example, as 12503296 + 10549504 = 3536^2 + 3248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23052803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11900 + ... + 13700.

Almost surely, 2^23052800 is an apocalyptic number.

23052800 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 23052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573413).

23052800 is an abundant number, since it is smaller than the sum of its proper divisors (34094026).

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

23052800 is an equidigital number, since it uses as much as digits as its factorization.

23052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 23052800 is about 4801.3331481996. Note that the first 3 decimals coincide. The cubic root of 23052800 is about 284.6041493196.

Adding to 23052800 its reverse (825032), we get a palindrome (23877832).

The spelling of 23052800 in words is "twenty-three million, fifty-two thousand, eight hundred".