328590864 has 360 divisors, whose sum is σ = 1184879520. Its totient is φ = 86873472.

The previous prime is 328590863. The next prime is 328590887. The reversal of 328590864 is 468095823.

It is not an unprimeable number, because it can be changed into a prime (328590863) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7641627 + ... + 7641669.

It is an arithmetic number, because the mean of its divisors is an integer number (3291332).

Almost surely, 2^328590864 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 328590864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592439760).

328590864 is an abundant number, since it is smaller than the sum of its proper divisors (856288656).

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

328590864 is a wasteful number, since it uses less digits than its factorization.

328590864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 328590864 is about 18127.0754397945. The cubic root of 328590864 is about 690.0573109296.

It can be divided in two parts, 3285 and 90864, that added together give a palindrome (94149).

The spelling of 328590864 in words is "three hundred twenty-eight million, five hundred ninety thousand, eight hundred sixty-four".