328848 has 80 divisors (see below), whose sum is σ = 999936. Its totient is φ = 92160.

The previous prime is 328847. The next prime is 328849. The reversal of 328848 is 848823.

328848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (328847) and next prime (328849).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10593 + ... + 10623.

2³²⁸⁸⁴⁸ 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 328848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

328848 is an abundant number, since it is smaller than the sum of its proper divisors (671088).

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

328848 is a wasteful number, since it uses less digits than its factorization.

328848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 328848 is about 573.4527007522. The cubic root of 328848 is about 69.0237263501.

It can be divided in two parts, 328 and 848, that added together give a triangular number (1176 = T₄₈).

The spelling of 328848 in words is "three hundred twenty-eight thousand, eight hundred forty-eight".