328272086880 has 384 divisors, whose sum is σ = 1172595916800. Its totient is φ = 85743470592.

The previous prime is 328272086861. The next prime is 328272086893. The reversal of 328272086880 is 88680272823.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 248878861 + ... + 248880179.

It is an arithmetic number, because the mean of its divisors is an integer number (3053635200).

Almost surely, 2^328272086880 is an apocalyptic number.

328272086880 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 328272086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586297958400).

328272086880 is an abundant number, since it is smaller than the sum of its proper divisors (844323829920).

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

328272086880 is a wasteful number, since it uses less digits than its factorization.

328272086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 328272086880 in words is "three hundred twenty-eight billion, two hundred seventy-two million, eighty-six thousand, eight hundred eighty".