23119288028928 has 864 divisors, whose sum is σ = 84184963990400. Its totient is φ = 6063219671040.

The previous prime is 23119288028917. The next prime is 23119288028953. The reversal of 23119288028928 is 82982088291132.

23119288028928 is a `hidden beast` number, since 231 + 1 + 9 + 28 + 80 + 289 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1859503800 + ... + 1859516232.

Almost surely, 2^{23119288028928} is an apocalyptic number.

23119288028928 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 23119288028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42092481995200).

23119288028928 is an abundant number, since it is smaller than the sum of its proper divisors (61065675961472).

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

23119288028928 is a wasteful number, since it uses less digits than its factorization.

23119288028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12670 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 23119288028928 in words is "twenty-three trillion, one hundred nineteen billion, two hundred eighty-eight million, twenty-eight thousand, nine hundred twenty-eight".