328306987008 has 1872 divisors, whose sum is σ = 1370451543552. Its totient is φ = 74317824000.

The previous prime is 328306987003. The next prime is 328306987031. The reversal of 328306987008 is 800789603823.

328306987008 is a `hidden beast` number, since 328 + 306 + 9 + 8 + 7 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is not an unprimeable number, because it can be changed into a prime (328306987003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8007487468 + ... + 8007487508.

It is an arithmetic number, because the mean of its divisors is an integer number (732078816).

Almost surely, 2^328306987008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328306987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685225771776).

328306987008 is an abundant number, since it is smaller than the sum of its proper divisors (1042144556544).

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

328306987008 is a wasteful number, since it uses less digits than its factorization.

328306987008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 328306987008 in words is "three hundred twenty-eight billion, three hundred six million, nine hundred eighty-seven thousand, eight".