328815360 has 432 divisors, whose sum is σ = 1274180544. Its totient is φ = 77856768.

The previous prime is 328815359. The next prime is 328815379. The reversal of 328815360 is 63518823.

328815360 is a `hidden beast` number, since 3 + 288 + 15 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4504284 + ... + 4504356.

It is an arithmetic number, because the mean of its divisors is an integer number (2949492).

Almost surely, 2^328815360 is an apocalyptic number.

328815360 is a gapful number since it is divisible by the number (30) 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 328815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637090272).

328815360 is an abundant number, since it is smaller than the sum of its proper divisors (945365184).

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

328815360 is a wasteful number, since it uses less digits than its factorization.

328815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 328815360 is about 18133.2666665441. The cubic root of 328815360 is about 690.2144261111.

The spelling of 328815360 in words is "three hundred twenty-eight million, eight hundred fifteen thousand, three hundred sixty".