328258560 has 352 divisors, whose sum is σ = 1245100032. Its totient is φ = 72253440.

The previous prime is 328258547. The next prime is 328258577. The reversal of 328258560 is 65852823.

328258560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4623325 + ... + 4623395.

It is an arithmetic number, because the mean of its divisors is an integer number (3537216).

Almost surely, 2^328258560 is an apocalyptic number.

328258560 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 328258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622550016).

328258560 is an abundant number, since it is smaller than the sum of its proper divisors (916841472).

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

328258560 is a wasteful number, since it uses less digits than its factorization.

328258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 328258560 is about 18117.9071639083. The cubic root of 328258560 is about 689.8246141089.

The spelling of 328258560 in words is "three hundred twenty-eight million, two hundred fifty-eight thousand, five hundred sixty".