328744 has 32 divisors (see below), whose sum is σ = 693000. Its totient is φ = 145152.

The previous prime is 328721. The next prime is 328753. The reversal of 328744 is 447823.

It can be written as a sum of positive squares in 4 ways, for example, as 260100 + 68644 = 510^2 + 262^2 .

It is a d-powerful number, because it can be written as 3⁴ + 2⁷ + 7³ + 8³ + 4⁸ + 4⁹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2962 + ... + 3070.

2³²⁸⁷⁴⁴ 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 328744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346500).

328744 is an abundant number, since it is smaller than the sum of its proper divisors (364256).

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

328744 is a wasteful number, since it uses less digits than its factorization.

328744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 328744 is about 573.3620147865. The cubic root of 328744 is about 69.0164492044.

The spelling of 328744 in words is "three hundred twenty-eight thousand, seven hundred forty-four".