328950 has 72 divisors (see below), whose sum is σ = 957528. Its totient is φ = 80640.

The previous prime is 328931. The next prime is 328961. The reversal of 328950 is 59823.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7629 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (13299).

328950 is a Friedman number, since it can be written as 50*(3^8+9*2), using all its digits and the basic arithmetic operations.

2³²⁸⁹⁵⁰ is an apocalyptic number.

328950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478764).

328950 is an abundant number, since it is smaller than the sum of its proper divisors (628578).

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

328950 is a wasteful number, since it uses less digits than its factorization.

328950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 328950 is about 573.5416288292. The cubic root of 328950 is about 69.0308620605.

The spelling of 328950 in words is "three hundred twenty-eight thousand, nine hundred fifty".