328893520896 has 264 divisors, whose sum is σ = 982949879808. Its totient is φ = 105808896000.

The previous prime is 328893520873. The next prime is 328893520957. The reversal of 328893520896 is 698025398823.

328893520896 is a `hidden beast` number, since 3 + 28 + 8 + 9 + 3 + 520 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123133641 + ... + 123136311.

Almost surely, 2^328893520896 is an apocalyptic number.

328893520896 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 328893520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491474939904).

328893520896 is an abundant number, since it is smaller than the sum of its proper divisors (654056358912).

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

328893520896 is a wasteful number, since it uses less digits than its factorization.

328893520896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 328893520896 in words is "three hundred twenty-eight billion, eight hundred ninety-three million, five hundred twenty thousand, eight hundred ninety-six".