320728128 has 168 divisors, whose sum is σ = 1002804192. Its totient is φ = 90187776.

The previous prime is 320728127. The next prime is 320728193. The reversal of 320728128 is 821827023.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (320728127) 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 23 ways as a sum of consecutive naturals, for example, 686551 + ... + 687017.

Almost surely, 2^320728128 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 320728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501402096).

320728128 is an abundant number, since it is smaller than the sum of its proper divisors (682076064).

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

320728128 is a wasteful number, since it uses less digits than its factorization.

320728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 320728128 is about 17908.8840523356. The cubic root of 320728128 is about 684.5087695896.

The spelling of 320728128 in words is "three hundred twenty million, seven hundred twenty-eight thousand, one hundred twenty-eight".