328790381347056 has 320 divisors, whose sum is σ = 896156219473920. Its totient is φ = 103741626562560.

The previous prime is 328790381347039. The next prime is 328790381347091. The reversal of 328790381347056 is 650743183097823.

It is a super-2 number, since 2×328790381347056² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56270813671 + ... + 56270819513.

It is an arithmetic number, because the mean of its divisors is an integer number (2800488185856).

It is a 1-persistent number, because it is pandigital, but 2⋅328790381347056 = 657580762694112 is not.

Almost surely, 2^{328790381347056} 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 328790381347056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448078109736960).

328790381347056 is an abundant number, since it is smaller than the sum of its proper divisors (567365838126864).

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

328790381347056 is a wasteful number, since it uses less digits than its factorization.

328790381347056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 328790381347056 in words is "three hundred twenty-eight trillion, seven hundred ninety billion, three hundred eighty-one million, three hundred forty-seven thousand, fifty-six".