23892768 has 72 divisors (see below), whose sum is σ = 70918848. Its totient is φ = 7615872.

The previous prime is 23892767. The next prime is 23892773. The reversal of 23892768 is 86729832.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (23892767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4821 + ... + 8427.

It is an arithmetic number, because the mean of its divisors is an integer number (984984).

Almost surely, 2^23892768 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 23892768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35459424).

23892768 is an abundant number, since it is smaller than the sum of its proper divisors (47026080).

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

23892768 is a wasteful number, since it uses less digits than its factorization.

23892768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3635 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 23892768 is about 4888.0229132033. The cubic root of 23892768 is about 288.0196745818.

The spelling of 23892768 in words is "twenty-three million, eight hundred ninety-two thousand, seven hundred sixty-eight".