328599936000 has 2112 divisors, whose sum is σ = 1505816432640. Its totient is φ = 69186355200.

The previous prime is 328599935999. The next prime is 328599936031. The reversal of 328599936000 is 639995823.

328599936000 is a `hidden beast` number, since 3 + 28 + 5 + 9 + 9 + 9 + 3 + 600 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6991487977 + ... + 6991488023.

Almost surely, 2^328599936000 is an apocalyptic number.

328599936000 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 328599936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752908216320).

328599936000 is an abundant number, since it is smaller than the sum of its proper divisors (1177216496640).

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

328599936000 is a wasteful number, since it uses less digits than its factorization.

328599936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 328599936000 in words is "three hundred twenty-eight billion, five hundred ninety-nine million, nine hundred thirty-six thousand".