23788128 has 144 divisors (see below), whose sum is σ = 78427440. Its totient is φ = 6257664.

The previous prime is 23788123. The next prime is 23788139. The reversal of 23788128 is 82188732.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23788123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60958 + ... + 61346.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^23788128 is an apocalyptic number.

23788128 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 23788128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39213720).

23788128 is an abundant number, since it is smaller than the sum of its proper divisors (54639312).

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

23788128 is a wasteful number, since it uses less digits than its factorization.

23788128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 23788128 is about 4877.3074539135. The cubic root of 23788128 is about 287.5985920210.

The spelling of 23788128 in words is "twenty-three million, seven hundred eighty-eight thousand, one hundred twenty-eight".