328000 has 56 divisors (see below), whose sum is σ = 832104. Its totient is φ = 128000.

The previous prime is 327983. The next prime is 328007. The reversal of 328000 is 823.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 254016 = 272^2 + 504^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7980 + ... + 8020.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2³²⁸⁰⁰⁰ 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 328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416052).

328000 is an abundant number, since it is smaller than the sum of its proper divisors (504104).

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

328000 is an equidigital number, since it uses as much as digits as its factorization.

328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 328000 is about 572.7128425311. The cubic root of 328000 is about 68.9643448077.

Adding to 328000 its reverse (823), we get a palindrome (328823).

The spelling of 328000 in words is "three hundred twenty-eight thousand".