328352 has 24 divisors (see below), whose sum is σ = 669312. Its totient is φ = 158400.

The previous prime is 328343. The next prime is 328357. The reversal of 328352 is 253823.

328352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328352.

It is not an unprimeable number, because it can be changed into a prime (328357) by changing a digit.

328352 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 827 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (27888).

2³²⁸³⁵² is an apocalyptic number.

328352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334656).

328352 is an abundant number, since it is smaller than the sum of its proper divisors (340960).

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

328352 is a wasteful number, since it uses less digits than its factorization.

328352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 328352 is about 573.0200694566. The cubic root of 328352 is about 68.9890061599.

Subtracting from 328352 its sum of digits (23), we obtain a square (328329 = 573²).

Subtracting from 328352 its reverse (253823), we obtain a square (74529 = 273²).

The spelling of 328352 in words is "three hundred twenty-eight thousand, three hundred fifty-two".