23928000400 has 60 divisors (see below), whose sum is σ = 57580786692. Its totient is φ = 9555589120.

The previous prime is 23928000373. The next prime is 23928000401. The reversal of 23928000400 is 400082932.

It can be written as a sum of positive squares in 6 ways, for example, as 1182534544 + 22745465856 = 34388^2 + 150816^2 .

It is not an unprimeable number, because it can be changed into a prime (23928000401) 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, 198324 + ... + 295276.

Almost surely, 2^23928000400 is an apocalyptic number.

23928000400 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 23928000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28790393346).

23928000400 is an abundant number, since it is smaller than the sum of its proper divisors (33652786292).

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

23928000400 is a wasteful number, since it uses less digits than its factorization.

23928000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97588 (or 97577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 23928000400 in words is "twenty-three billion, nine hundred twenty-eight million, four hundred", and thus it is an aban number.