328895688960 has 432 divisors, whose sum is σ = 1166640471360. Its totient is φ = 85520793600.

The previous prime is 328895688929. The next prime is 328895689019. The reversal of 328895688960 is 69886598823.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 77953731 + ... + 77957949.

Almost surely, 2^328895688960 is an apocalyptic number.

328895688960 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 328895688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583320235680).

328895688960 is an abundant number, since it is smaller than the sum of its proper divisors (837744782400).

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

328895688960 is a wasteful number, since it uses less digits than its factorization.

328895688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 328895688960 in words is "three hundred twenty-eight billion, eight hundred ninety-five million, six hundred eighty-eight thousand, nine hundred sixty".