322407828288 has 672 divisors, whose sum is σ = 1182093599232. Its totient is φ = 81749606400.

The previous prime is 322407828271. The next prime is 322407828319. The reversal of 322407828288 is 882828704223.

322407828288 is a `hidden beast` number, since 3 + 2 + 2 + 407 + 82 + 82 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152581920 + ... + 152584032.

It is an arithmetic number, because the mean of its divisors is an integer number (1759067856).

Almost surely, 2^322407828288 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 322407828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591046799616).

322407828288 is an abundant number, since it is smaller than the sum of its proper divisors (859685770944).

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

322407828288 is a wasteful number, since it uses less digits than its factorization.

322407828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 322407828288 in words is "three hundred twenty-two billion, four hundred seven million, eight hundred twenty-eight thousand, two hundred eighty-eight".