328876298040 has 256 divisors, whose sum is σ = 1070531665920. Its totient is φ = 80585809920.

The previous prime is 328876298027. The next prime is 328876298057. The reversal of 328876298040 is 40892678823.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11707692 + ... + 11735748.

It is an arithmetic number, because the mean of its divisors is an integer number (4181764320).

Almost surely, 2^328876298040 is an apocalyptic number.

328876298040 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 328876298040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535265832960).

328876298040 is an abundant number, since it is smaller than the sum of its proper divisors (741655367880).

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

328876298040 is a wasteful number, since it uses less digits than its factorization.

328876298040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28262 (or 28258 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 328876298040 in words is "three hundred twenty-eight billion, eight hundred seventy-six million, two hundred ninety-eight thousand, forty".