328281720582816 has 2880 divisors, whose sum is σ = 1397748128071680. Its totient is φ = 73131167416320.

The previous prime is 328281720582793. The next prime is 328281720582839. The reversal of 328281720582816 is 618285027182823.

328281720582816 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 8 + 17 + 20 + 582 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (328281720582793) and next prime (328281720582839).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 45298978105 + ... + 45298985351.

It is an arithmetic number, because the mean of its divisors is an integer number (485329211136).

Almost surely, 2^{328281720582816} is an apocalyptic number.

328281720582816 is a gapful number since it is divisible by the number (36) 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 328281720582816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698874064035840).

328281720582816 is an abundant number, since it is smaller than the sum of its proper divisors (1069466407488864).

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

328281720582816 is a wasteful number, since it uses less digits than its factorization.

328281720582816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 328281720582816 in words is "three hundred twenty-eight trillion, two hundred eighty-one billion, seven hundred twenty million, five hundred eighty-two thousand, eight hundred sixteen".