328820 has 24 divisors (see below), whose sum is σ = 709128. Its totient is φ = 128000.

The previous prime is 328813. The next prime is 328829. The reversal of 328820 is 28823.

It can be written as a sum of positive squares in 4 ways, for example, as 45796 + 283024 = 214^2 + 532^2 .

It is an Ulam number.

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 328820.

It is not an unprimeable number, because it can be changed into a prime (328829) by changing a digit.

328820 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 620 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (29547).

2³²⁸⁸²⁰ 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 328820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354564).

328820 is an abundant number, since it is smaller than the sum of its proper divisors (380308).

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

328820 is a wasteful number, since it uses less digits than its factorization.

328820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 328820 is about 573.4282867107. The cubic root of 328820 is about 69.0217672695.

The spelling of 328820 in words is "three hundred twenty-eight thousand, eight hundred twenty".