23728320 has 336 divisors, whose sum is σ = 102705408. Its totient is φ = 4884480.

The previous prime is 23728297. The next prime is 23728343. The reversal of 23728320 is 2382732.

It is an interprime number because it is at equal distance from previous prime (23728297) and next prime (23728343).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221707 + ... + 221813.

Almost surely, 2^23728320 is an apocalyptic number.

23728320 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 23728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51352704).

23728320 is an abundant number, since it is smaller than the sum of its proper divisors (78977088).

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

23728320 is a wasteful number, since it uses less digits than its factorization.

23728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23728320 is about 4871.1723434919. The cubic root of 23728320 is about 287.3573633983.

23728320 divided by its product of nonzero digits (4032) gives a palindrome (5885).

The spelling of 23728320 in words is "twenty-three million, seven hundred twenty-eight thousand, three hundred twenty".