328500 has 72 divisors (see below), whose sum is σ = 1050504. Its totient is φ = 86400.

The previous prime is 328481. The next prime is 328511. The reversal of 328500 is 5823.

328500 = T₅₆ + T₅₇ + ... + T₁₂₈.

328500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 318096 = 102^2 + 564^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4464 + ... + 4536.

2³²⁸⁵⁰⁰ is an apocalyptic number.

328500 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 328500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525252).

328500 is an abundant number, since it is smaller than the sum of its proper divisors (722004).

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

328500 is a wasteful number, since it uses less digits than its factorization.

328500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 328500 is about 573.1491952363. The cubic root of 328500 is about 68.9993698745. Note that the first 3 decimals are identical.

It can be divided in two parts, 328 and 500, that added together give a palindrome (828).

The spelling of 328500 in words is "three hundred twenty-eight thousand, five hundred".