5328 has 30 divisors (see below), whose sum is σ = 15314. Its totient is φ = 1728.

The previous prime is 5323. The next prime is 5333. The reversal of 5328 is 8235.

5328 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 73²-1.

It is an interprime number because it is at equal distance from previous prime (5323) and next prime (5333).

It can be written as a sum of positive squares in only one way, i.e., 5184 + 144 = 72^2 + 12^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5⁵ + 2³ + 3⁷ + 8 .

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 5328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5323) by changing a digit.

5328 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 5 ways as a sum of consecutive naturals, for example, 126 + ... + 162.

2⁵³²⁸ 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 5328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657).

5328 is an abundant number, since it is smaller than the sum of its proper divisors (9986).

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

5328 is a wasteful number, since it uses less digits than its factorization.

5328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 42 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 5328 is about 72.9931503636. The cubic root of 5328 is about 17.4657834826.

It can be divided in two parts, 53 and 28, that added together give a 4-th power (81 = 3⁴).

The spelling of 5328 in words is "five thousand, three hundred twenty-eight".