322324345728 has 864 divisors, whose sum is σ = 1215939029760. Its totient is φ = 81607680000.

The previous prime is 322324345699. The next prime is 322324345729. The reversal of 322324345728 is 827543423223.

322324345728 is a `hidden beast` number, since 3 + 2 + 2 + 32 + 43 + 4 + 572 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322324345729) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 280037953 + ... + 280039103.

It is an arithmetic number, because the mean of its divisors is an integer number (1407336840).

Almost surely, 2^322324345728 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 322324345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607969514880).

322324345728 is an abundant number, since it is smaller than the sum of its proper divisors (893614684032).

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

322324345728 is a wasteful number, since it uses less digits than its factorization.

322324345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1215 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 322324345728 in words is "three hundred twenty-two billion, three hundred twenty-four million, three hundred forty-five thousand, seven hundred twenty-eight".