6328 has 16 divisors (see below), whose sum is σ = 13680. Its totient is φ = 2688.

The previous prime is 6323. The next prime is 6329. The reversal of 6328 is 8236.

6328 = 27² + 28² + ... + 33².

6328 is a nontrivial binomial coefficient, being equal to C(113, 2).

6328 is an undulating number in base 15.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 112.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

2⁶³²⁸ is an apocalyptic number.

6328 is the 112-nd triangular number.

6328 is the 38-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840).

6328 is an abundant number, since it is smaller than the sum of its proper divisors (7352).

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

6328 is a wasteful number, since it uses less digits than its factorization.

6328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 6328 is about 79.5487272054. The cubic root of 6328 is about 18.4964687684.

It can be divided in two parts, 63 and 28, that multiplied together give a square (1764 = 42²).

The spelling of 6328 in words is "six thousand, three hundred twenty-eight".