328200 has 48 divisors (see below), whose sum is σ = 1019280. Its totient is φ = 87360.

The previous prime is 328177. The next prime is 328213. The reversal of 328200 is 2823.

328200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 328200.

It is an unprimeable number.

328200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (21235).

2³²⁸²⁰⁰ is an apocalyptic number.

328200 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 328200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509640).

328200 is an abundant number, since it is smaller than the sum of its proper divisors (691080).

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

328200 is a wasteful number, since it uses less digits than its factorization.

328200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 328200 is about 572.8874234961. The cubic root of 328200 is about 68.9783591029.

It can be divided in two parts, 328 and 200, that added together give a triangular number (528 = T₃₂).

The spelling of 328200 in words is "three hundred twenty-eight thousand, two hundred".