328100 has 36 divisors (see below), whose sum is σ = 757764. Its totient is φ = 122880.

The previous prime is 328093. The next prime is 328103. The reversal of 328100 is 1823.

328100 is nontrivially palindromic in base 9.

328100 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 6 ways, for example, as 5476 + 322624 = 74^2 + 568^2 .

It is a super-2 number, since 2×328100² = 215299220000, which contains 22 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328100.

It is not an unprimeable number, because it can be changed into a prime (328103) by changing a digit.

328100 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, 1604 + ... + 1796.

It is an arithmetic number, because the mean of its divisors is an integer number (21049).

2³²⁸¹⁰⁰ 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 328100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378882).

328100 is an abundant number, since it is smaller than the sum of its proper divisors (429664).

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

328100 is a wasteful number, since it uses less digits than its factorization.

328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 328100 is about 572.8001396648. The cubic root of 328100 is about 68.9713526671.

Adding to 328100 its reverse (1823), we get a palindrome (329923).

The spelling of 328100 in words is "three hundred twenty-eight thousand, one hundred".