22828220928000 has 3328 divisors, whose sum is σ = 95558696064000. Its totient is φ = 5417769369600.

The previous prime is 22828220927989. The next prime is 22828220928041. The reversal of 22828220928000 is 82902282822.

It is a super-2 number, since 2×22828220928000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 616978943982 + ... + 616978944018.

It is an arithmetic number, because the mean of its divisors is an integer number (28713550500).

Almost surely, 2^{22828220928000} is an apocalyptic number.

22828220928000 is a gapful number since it is divisible by the number (20) 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 22828220928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47779348032000).

22828220928000 is an abundant number, since it is smaller than the sum of its proper divisors (72730475136000).

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

22828220928000 is an frugal number, since it uses more digits than its factorization.

22828220928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 22828220928000 in words is "twenty-two trillion, eight hundred twenty-eight billion, two hundred twenty million, nine hundred twenty-eight thousand".