328167504 has 240 divisors, whose sum is σ = 1128052800. Its totient is φ = 91010304.

The previous prime is 328167503. The next prime is 328167551. The reversal of 328167504 is 405761823.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328167503) 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 47 ways as a sum of consecutive naturals, for example, 783007 + ... + 783425.

It is an arithmetic number, because the mean of its divisors is an integer number (4700220).

Almost surely, 2^328167504 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 328167504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564026400).

328167504 is an abundant number, since it is smaller than the sum of its proper divisors (799885296).

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

328167504 is a wasteful number, since it uses less digits than its factorization.

328167504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 328167504 is about 18115.3941166070. The cubic root of 328167504 is about 689.7608244763.

The spelling of 328167504 in words is "three hundred twenty-eight million, one hundred sixty-seven thousand, five hundred four".