328686884400 has 480 divisors, whose sum is σ = 1239945241600. Its totient is φ = 74389432320.

The previous prime is 328686884399. The next prime is 328686884431. The reversal of 328686884400 is 4488686823.

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 95 ways as a sum of consecutive naturals, for example, 42390924 + ... + 42398676.

Almost surely, 2^328686884400 is an apocalyptic number.

328686884400 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 328686884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619972620800).

328686884400 is an abundant number, since it is smaller than the sum of its proper divisors (911258357200).

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

328686884400 is a wasteful number, since it uses less digits than its factorization.

328686884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 328686884400 in words is "three hundred twenty-eight billion, six hundred eighty-six million, eight hundred eighty-four thousand, four hundred".