322249728 has 88 divisors (see below), whose sum is σ = 904282720. Its totient is φ = 101744640.

The previous prime is 322249721. The next prime is 322249729. The reversal of 322249728 is 827942223.

It is not an unprimeable number, because it can be changed into a prime (322249721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55608 + ... + 61128.

It is an arithmetic number, because the mean of its divisors is an integer number (10275940).

Almost surely, 2^322249728 is an apocalyptic number.

322249728 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 322249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452141360).

322249728 is an abundant number, since it is smaller than the sum of its proper divisors (582032992).

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

322249728 is a wasteful number, since it uses less digits than its factorization.

322249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5545 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 322249728 is about 17951.3154949714. The cubic root of 322249728 is about 685.5895455635.

It can be divided in two parts, 32 and 2249728, that multiplied together give a cube (71991296 = 416³).

The spelling of 322249728 in words is "three hundred twenty-two million, two hundred forty-nine thousand, seven hundred twenty-eight".