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8328 = 233347

8328 has 16 divisors (see below), whose sum is σ = 20880. Its totient is φ = 2768.

The previous prime is 8317. The next prime is 8329. The reversal of 8328 is 8238.

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

It is not an unprimeable number, because it can be changed into a prime (8329) by changing a digit.

8328 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 in 3 ways as a sum of consecutive naturals, for example, 150 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (1305).

28328 is an apocalyptic number.

It is an amenable number.

8328 is an abundant number, since it is smaller than the sum of its proper divisors (12552).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10440).

8328 is a wasteful number, since it uses less digits than its factorization.

8328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 8328 is about 91.2578763724. The cubic root of 8328 is about 20.2696806075.

It can be divided in two parts, 83 and 28, that added together give a palindrome (111).

The spelling of 8328 in words is "eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 347 694 1041 1388 2082 2776 4164 8328