23642928 has 70 divisors (see below), whose sum is σ = 68714724. Its totient is φ = 7877088.

The previous prime is 23642923. The next prime is 23642933. The reversal of 23642928 is 82924632.

23642928 is a `hidden beast` number, since 2 + 3 + 642 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23642923) and next prime (23642933).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 23642892 and 23642901.

It is not an unprimeable number, because it can be changed into a prime (23642921) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10651 + ... + 12677.

Almost surely, 2^23642928 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 23642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34357362).

23642928 is an abundant number, since it is smaller than the sum of its proper divisors (45071796).

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

23642928 is an equidigital number, since it uses as much as digits as its factorization.

23642928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2032 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 23642928 is about 4862.3994076999. The cubic root of 23642928 is about 287.0122411384.

The spelling of 23642928 in words is "twenty-three million, six hundred forty-two thousand, nine hundred twenty-eight".