322979328 has 480 divisors, whose sum is σ = 1225635840. Its totient is φ = 79626240.

The previous prime is 322979303. The next prime is 322979341. The reversal of 322979328 is 823979223.

322979328 is a `hidden beast` number, since 32 + 297 + 9 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10418673 + ... + 10418703.

It is an arithmetic number, because the mean of its divisors is an integer number (2553408).

Almost surely, 2^322979328 is an apocalyptic number.

322979328 is a gapful number since it is divisible by the number (38) 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 322979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612817920).

322979328 is an abundant number, since it is smaller than the sum of its proper divisors (902656512).

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

322979328 is a wasteful number, since it uses less digits than its factorization.

322979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 322979328 is about 17971.6256359852. The cubic root of 322979328 is about 686.1065660195.

The spelling of 322979328 in words is "three hundred twenty-two million, nine hundred seventy-nine thousand, three hundred twenty-eight".