23842728 has 128 divisors (see below), whose sum is σ = 81580800. Its totient is φ = 6283008.

The previous prime is 23842711. The next prime is 23842733. The reversal of 23842728 is 82724832.

23842728 is a `hidden beast` number, since 2 + 384 + 272 + 8 = 666.

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 = 23842692 and 23842701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19050 + ... + 20262.

It is an arithmetic number, because the mean of its divisors is an integer number (637350).

Almost surely, 2^23842728 is an apocalyptic number.

23842728 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 23842728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40790400).

23842728 is an abundant number, since it is smaller than the sum of its proper divisors (57738072).

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

23842728 is a wasteful number, since it uses less digits than its factorization.

23842728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 23842728 is about 4882.9015963871. The cubic root of 23842728 is about 287.8184619822.

The spelling of 23842728 in words is "twenty-three million, eight hundred forty-two thousand, seven hundred twenty-eight".