328192 has 20 divisors (see below), whose sum is σ = 656766. Its totient is φ = 163840.

The previous prime is 328177. The next prime is 328213. The reversal of 328192 is 291823.

328192 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 only one way, i.e., 215296 + 112896 = 464^2 + 336^2 .

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 328192.

It is an unprimeable number.

328192 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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192 + ... + 832.

2³²⁸¹⁹² is an apocalyptic number.

328192 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 328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328383).

328192 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

328192 is an frugal number, since it uses more digits than its factorization.

328192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 328192 is about 572.8804412790. The cubic root of 328192 is about 68.9777986404.

It can be divided in two parts, 32 and 8192, that multiplied together give a 18-th power (262144 = 2¹⁸).

The spelling of 328192 in words is "three hundred twenty-eight thousand, one hundred ninety-two".