22323133728 has 576 divisors, whose sum is σ = 78875596800. Its totient is φ = 5852528640.

The previous prime is 22323133681. The next prime is 22323133733. The reversal of 22323133728 is 82733132322.

It is a super-3 number, since 3×22323133728³ (a number of 32 digits) contains 333 as substring.

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 = 22323133692 and 22323133701.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197549800 + ... + 197549912.

It is an arithmetic number, because the mean of its divisors is an integer number (136936800).

Almost surely, 2^22323133728 is an apocalyptic number.

22323133728 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 22323133728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39437798400).

22323133728 is an abundant number, since it is smaller than the sum of its proper divisors (56552463072).

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

22323133728 is a wasteful number, since it uses less digits than its factorization.

22323133728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 22323133728 in words is "twenty-two billion, three hundred twenty-three million, one hundred thirty-three thousand, seven hundred twenty-eight".