328466688 has 144 divisors (see below), whose sum is σ = 971308800. Its totient is φ = 97699840.

The previous prime is 328466687. The next prime is 328466713. The reversal of 328466688 is 886664823.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 328466688.

It is not an unprimeable number, because it can be changed into a prime (328466681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498103 + ... + 498761.

It is an arithmetic number, because the mean of its divisors is an integer number (6745200).

Almost surely, 2^328466688 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 328466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485654400).

328466688 is an abundant number, since it is smaller than the sum of its proper divisors (642842112).

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

328466688 is a wasteful number, since it uses less digits than its factorization.

328466688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 734 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 328466688 is about 18123.6499635145. The cubic root of 328466688 is about 689.9703746995.

The spelling of 328466688 in words is "three hundred twenty-eight million, four hundred sixty-six thousand, six hundred eighty-eight".