322829785728 has 192 divisors, whose sum is σ = 955648730400. Its totient is φ = 104529844224.

The previous prime is 322829785723. The next prime is 322829785771. The reversal of 322829785728 is 827587928223.

322829785728 is a `hidden beast` number, since 32 + 2 + 8 + 29 + 7 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (322829785721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27401343 + ... + 27413121.

Almost surely, 2^322829785728 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 322829785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477824365200).

322829785728 is an abundant number, since it is smaller than the sum of its proper divisors (632818944672).

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

322829785728 is a wasteful number, since it uses less digits than its factorization.

322829785728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12479 (or 12464 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

It can be divided in two parts, 3228297 and 85728, that added together give a triangular number (3314025 = T₂₅₇₄).

The spelling of 322829785728 in words is "three hundred twenty-two billion, eight hundred twenty-nine million, seven hundred eighty-five thousand, seven hundred twenty-eight".