328900 has 72 divisors (see below), whose sum is σ = 874944. Its totient is φ = 105600.

The previous prime is 328897. The next prime is 328901. The reversal of 328900 is 9823.

328900 = T₆₅ + T₆₆ + ... + T₁₃₀.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14289 + ... + 14311.

It is an arithmetic number, because the mean of its divisors is an integer number (12152).

2³²⁸⁹⁰⁰ 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 328900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

328900 is an abundant number, since it is smaller than the sum of its proper divisors (546044).

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

328900 is a wasteful number, since it uses less digits than its factorization.

328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 328900 is about 573.4980383576. The cubic root of 328900 is about 69.0273643476.

The spelling of 328900 in words is "three hundred twenty-eight thousand, nine hundred".