328907520 has 288 divisors, whose sum is σ = 1208739840. Its totient is φ = 84602880.

The previous prime is 328907519. The next prime is 328907533. The reversal of 328907520 is 25709823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1071207 + ... + 1071513.

Almost surely, 2^328907520 is an apocalyptic number.

328907520 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 328907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604369920).

328907520 is an abundant number, since it is smaller than the sum of its proper divisors (879832320).

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

328907520 is a wasteful number, since it uses less digits than its factorization.

328907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 328907520 is about 18135.8076743221. The cubic root of 328907520 is about 690.2789042624.

The spelling of 328907520 in words is "three hundred twenty-eight million, nine hundred seven thousand, five hundred twenty".