23872128 has 128 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 6675456.

The previous prime is 23872111. The next prime is 23872129. The reversal of 23872128 is 82127832.

It is a tau number, because it is divible by the number of its divisors (128).

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 (23872129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223051 + ... + 223157.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 2^23872128 is an apocalyptic number.

23872128 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 23872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

23872128 is an abundant number, since it is smaller than the sum of its proper divisors (50155392).

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

23872128 is a wasteful number, since it uses less digits than its factorization.

23872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 23872128 is about 4885.9111739777. The cubic root of 23872128 is about 287.9367144896.

The spelling of 23872128 in words is "twenty-three million, eight hundred seventy-two thousand, one hundred twenty-eight".