23012933328 has 800 divisors, whose sum is σ = 88220639232. Its totient is φ = 5617382400.

The previous prime is 23012933239. The next prime is 23012933341. The reversal of 23012933328 is 82333921032.

23012933328 is a `hidden beast` number, since 2 + 30 + 1 + 293 + 332 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 23012933292 and 23012933301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133022650 + ... + 133022822.

Almost surely, 2^23012933328 is an apocalyptic number.

23012933328 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 23012933328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44110319616).

23012933328 is an abundant number, since it is smaller than the sum of its proper divisors (65207705904).

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

23012933328 is a wasteful number, since it uses less digits than its factorization.

23012933328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 23012933328 in words is "twenty-three billion, twelve million, nine hundred thirty-three thousand, three hundred twenty-eight".