23882688 has 140 divisors (see below), whose sum is σ = 75236832. Its totient is φ = 7464960.

The previous prime is 23882681. The next prime is 23882693. The reversal of 23882688 is 88628832.

23882688 is a `hidden beast` number, since 2 + 388 + 268 + 8 = 666.

It is a super-2 number, since 2×23882688² = 1140765572210688, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23882681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87993 + ... + 88263.

Almost surely, 2^23882688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37618416).

23882688 is an abundant number, since it is smaller than the sum of its proper divisors (51354144).

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

23882688 is a wasteful number, since it uses less digits than its factorization.

23882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 23882688 is about 4886.9917127002. The cubic root of 23882688 is about 287.9791651594.

The spelling of 23882688 in words is "twenty-three million, eight hundred eighty-two thousand, six hundred eighty-eight".