322728240 has 160 divisors (see below), whose sum is σ = 1048593600. Its totient is φ = 82001920.

The previous prime is 322728233. The next prime is 322728251. The reversal of 322728240 is 42827223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 322728198 and 322728207.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 619180 + ... + 619700.

It is an arithmetic number, because the mean of its divisors is an integer number (6553710).

Almost surely, 2^322728240 is an apocalyptic number.

322728240 is a gapful number since it is divisible by the number (30) 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 322728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524296800).

322728240 is an abundant number, since it is smaller than the sum of its proper divisors (725865360).

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

322728240 is a wasteful number, since it uses less digits than its factorization.

322728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 322728240 is about 17964.6385992037. The cubic root of 322728240 is about 685.9287241039.

It can be divided in two parts, 32 and 2728240, that added together give a palindrome (2728272).

The spelling of 322728240 in words is "three hundred twenty-two million, seven hundred twenty-eight thousand, two hundred forty".