328274782128 has 200 divisors, whose sum is σ = 1000880830400. Its totient is φ = 103587797376.

The previous prime is 328274782081. The next prime is 328274782139. The reversal of 328274782128 is 821287472823.

328274782128 is a `hidden beast` number, since 3 + 28 + 27 + 478 + 2 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38877075 + ... + 38885517.

It is an arithmetic number, because the mean of its divisors is an integer number (5004404152).

Almost surely, 2^328274782128 is an apocalyptic number.

328274782128 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 328274782128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500440415200).

328274782128 is an abundant number, since it is smaller than the sum of its proper divisors (672606048272).

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

328274782128 is a wasteful number, since it uses less digits than its factorization.

328274782128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10046 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 328274782128 in words is "three hundred twenty-eight billion, two hundred seventy-four million, seven hundred eighty-two thousand, one hundred twenty-eight".