23334379852728 has 256 divisors, whose sum is σ = 68303398625280. Its totient is φ = 6505053954048.

The previous prime is 23334379852727. The next prime is 23334379852739. The reversal of 23334379852728 is 82725897343332.

It is a super-2 number, since 2×23334379852728² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23334379852727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1790400900 + ... + 1790413932.

It is an arithmetic number, because the mean of its divisors is an integer number (266810150880).

Almost surely, 2^{23334379852728} is an apocalyptic number.

23334379852728 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 23334379852728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151699312640).

23334379852728 is an abundant number, since it is smaller than the sum of its proper divisors (44969018772552).

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

23334379852728 is a wasteful number, since it uses less digits than its factorization.

23334379852728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14198 (or 14194 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 66.

The spelling of 23334379852728 in words is "twenty-three trillion, three hundred thirty-four billion, three hundred seventy-nine million, eight hundred fifty-two thousand, seven hundred twenty-eight".