23758728 has 96 divisors (see below), whose sum is σ = 70178400. Its totient is φ = 6682368.

The previous prime is 23758727. The next prime is 23758733. The reversal of 23758728 is 82785732.

It is a super-3 number, since 3×23758728³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 23758728.

It is not an unprimeable number, because it can be changed into a prime (23758723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104551 + ... + 104777.

It is an arithmetic number, because the mean of its divisors is an integer number (731025).

Almost surely, 2^23758728 is an apocalyptic number.

23758728 is a gapful number since it is divisible by the number (28) 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 23758728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35089200).

23758728 is an abundant number, since it is smaller than the sum of its proper divisors (46419672).

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

23758728 is a wasteful number, since it uses less digits than its factorization.

23758728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 23758728 is about 4874.2925640548. The cubic root of 23758728 is about 287.4800611251.

The spelling of 23758728 in words is "twenty-three million, seven hundred fifty-eight thousand, seven hundred twenty-eight".