23728400 has 60 divisors (see below), whose sum is σ = 57556212. Its totient is φ = 9400320.

The previous prime is 23728391. The next prime is 23728403. The reversal of 23728400 is 482732.

It can be written as a sum of positive squares in 6 ways, for example, as 2347024 + 21381376 = 1532^2 + 4624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23728400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23728403) 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, 54584 + ... + 55016.

Almost surely, 2^23728400 is an apocalyptic number.

23728400 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 23728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28778106).

23728400 is an abundant number, since it is smaller than the sum of its proper divisors (33827812).

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

23728400 is a wasteful number, since it uses less digits than its factorization.

23728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 23728400 is about 4871.1805550605. The cubic root of 23728400 is about 287.3576863396.

The spelling of 23728400 in words is "twenty-three million, seven hundred twenty-eight thousand, four hundred".