322127328 has 96 divisors (see below), whose sum is σ = 906425856. Its totient is φ = 99906048.

The previous prime is 322127327. The next prime is 322127341. The reversal of 322127328 is 823721223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 322127295 and 322127304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322127321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79725 + ... + 83667.

It is an arithmetic number, because the mean of its divisors is an integer number (9441936).

Almost surely, 2^322127328 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 322127328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453212928).

322127328 is an abundant number, since it is smaller than the sum of its proper divisors (584298528).

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

322127328 is a wasteful number, since it uses less digits than its factorization.

322127328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4008 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 322127328 is about 17947.9059502773. The cubic root of 322127328 is about 685.5027321598.

The spelling of 322127328 in words is "three hundred twenty-two million, one hundred twenty-seven thousand, three hundred twenty-eight".