328952000 has 112 divisors (see below), whose sum is σ = 877592352. Its totient is φ = 121420800.

The previous prime is 328951993. The next prime is 328952047. The reversal of 328952000 is 259823.

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 15 ways as a sum of consecutive naturals, for example, 102419 + ... + 105581.

It is an arithmetic number, because the mean of its divisors is an integer number (7835646).

Almost surely, 2^328952000 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 328952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438796176).

328952000 is an abundant number, since it is smaller than the sum of its proper divisors (548640352).

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

328952000 is a wasteful number, since it uses less digits than its factorization.

328952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 328952000 is about 18137.0339361209. The cubic root of 328952000 is about 690.3100196163.

The spelling of 328952000 in words is "three hundred twenty-eight million, nine hundred fifty-two thousand".