23662828728 has 432 divisors, whose sum is σ = 85019702040. Its totient is φ = 6143195520.

The previous prime is 23662828723. The next prime is 23662828753. The reversal of 23662828728 is 82782826632.

It is a happy number.

23662828728 is a `hidden beast` number, since 2 + 3 + 6 + 628 + 2 + 8 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23662828723) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11524950 + ... + 11527002.

Almost surely, 2^23662828728 is an apocalyptic number.

23662828728 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 23662828728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42509851020).

23662828728 is an abundant number, since it is smaller than the sum of its proper divisors (61356873312).

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

23662828728 is a wasteful number, since it uses less digits than its factorization.

23662828728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2076 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

It can be divided in two parts, 236628 and 28728, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 23662828728 in words is "twenty-three billion, six hundred sixty-two million, eight hundred twenty-eight thousand, seven hundred twenty-eight".