328703338764 has 192 divisors, whose sum is σ = 904070885760. Its totient is φ = 103154688000.

The previous prime is 328703338763. The next prime is 328703338871. The reversal of 328703338764 is 467833307823.

It is a super-3 number, since 3×328703338764³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 328703338764.

It is not an unprimeable number, because it can be changed into a prime (328703338763) by changing a digit.

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, 14304244 + ... + 14327204.

It is an arithmetic number, because the mean of its divisors is an integer number (4708702530).

Almost surely, 2^328703338764 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 328703338764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452035442880).

328703338764 is an abundant number, since it is smaller than the sum of its proper divisors (575367546996).

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

328703338764 is a wasteful number, since it uses less digits than its factorization.

328703338764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23129 (or 23121 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 328703338764 in words is "three hundred twenty-eight billion, seven hundred three million, three hundred thirty-eight thousand, seven hundred sixty-four".