23642128 has 40 divisors (see below), whose sum is σ = 47318400. Its totient is φ = 11437440.

The previous prime is 23642123. The next prime is 23642153. The reversal of 23642128 is 82124632.

It is a junction number, because it is equal to n+sod(n) for n = 23642096 and 23642105.

It is not an unprimeable number, because it can be changed into a prime (23642123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111943 + ... + 112153.

It is an arithmetic number, because the mean of its divisors is an integer number (1182960).

Almost surely, 2^23642128 is an apocalyptic number.

It is an amenable number.

23642128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

23642128 is a wasteful number, since it uses less digits than its factorization.

23642128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 23642128 is about 4862.3171430913. The cubic root of 23642128 is about 287.0090039141.

The spelling of 23642128 in words is "twenty-three million, six hundred forty-two thousand, one hundred twenty-eight".