328055878080 has 1512 divisors, whose sum is σ = 1412937555120. Its totient is φ = 69595545600.

The previous prime is 328055878069. The next prime is 328055878091. The reversal of 328055878080 is 80878550823.

It is a happy number.

328055878080 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 558 + 7 + 8 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (328055878069) and next prime (328055878091).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5560269091 + ... + 5560269149.

It is an arithmetic number, because the mean of its divisors is an integer number (934482510).

Almost surely, 2^328055878080 is an apocalyptic number.

328055878080 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 328055878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706468777560).

328055878080 is an abundant number, since it is smaller than the sum of its proper divisors (1084881677040).

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

328055878080 is a wasteful number, since it uses less digits than its factorization.

328055878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 328055878080 in words is "three hundred twenty-eight billion, fifty-five million, eight hundred seventy-eight thousand, eighty".