328311459840 has 624 divisors, whose sum is σ = 1300275773568. Its totient is φ = 69254774784.

The previous prime is 328311459829. The next prime is 328311459851. The reversal of 328311459840 is 48954113823.

It is an interprime number because it is at equal distance from previous prime (328311459829) and next prime (328311459851).

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 328311459840.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 72681262 + ... + 72685778.

Almost surely, 2^328311459840 is an apocalyptic number.

328311459840 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 328311459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650137886784).

328311459840 is an abundant number, since it is smaller than the sum of its proper divisors (971964313728).

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

328311459840 is a wasteful number, since it uses less digits than its factorization.

328311459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 328311459840 in words is "three hundred twenty-eight billion, three hundred eleven million, four hundred fifty-nine thousand, eight hundred forty".