328732390656 has 252 divisors, whose sum is σ = 988038357460. Its totient is φ = 109107855360.

The previous prime is 328732390583. The next prime is 328732390751. The reversal of 328732390656 is 656093237823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 197989401600 + 130742989056 = 444960^2 + 361584^2 .

It is a super-2 number, since 2×328732390656² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 44972730 + ... + 44980038.

Almost surely, 2^328732390656 is an apocalyptic number.

328732390656 is a gapful number since it is divisible by the number (36) 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 328732390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494019178730).

328732390656 is an abundant number, since it is smaller than the sum of its proper divisors (659305966804).

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

328732390656 is an frugal number, since it uses more digits than its factorization.

328732390656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 328732390656 in words is "three hundred twenty-eight billion, seven hundred thirty-two million, three hundred ninety thousand, six hundred fifty-six".