322238089728 has 320 divisors, whose sum is σ = 987658214400. Its totient is φ = 103626915840.

The previous prime is 322238089727. The next prime is 322238089777. The reversal of 322238089728 is 827980832223.

It is a happy number.

322238089728 is a `hidden beast` number, since 322 + 238 + 0 + 89 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×322238089728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (322238089727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166702650 + ... + 166704582.

It is an arithmetic number, because the mean of its divisors is an integer number (3086431920).

Almost surely, 2^322238089728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322238089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493829107200).

322238089728 is an abundant number, since it is smaller than the sum of its proper divisors (665420124672).

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

322238089728 is a wasteful number, since it uses less digits than its factorization.

322238089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 322238089728 in words is "three hundred twenty-two billion, two hundred thirty-eight million, eighty-nine thousand, seven hundred twenty-eight".