5828 has 12 divisors (see below), whose sum is σ = 10752. Its totient is φ = 2760.

The previous prime is 5827. The next prime is 5839. The reversal of 5828 is 8285.

5828 is nontrivially palindromic in base 3.

Its product of digits (640) is a multiple of the sum of its prime divisors (80).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (5821) 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, 101 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (896).

It is an amenable number.

5828 is a deficient number, since it is larger than the sum of its proper divisors (4924).

5828 is a wasteful number, since it uses less digits than its factorization.

5828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 5828 is about 76.3413387360. The cubic root of 5828 is about 17.9958838325.

It can be divided in two parts, 582 and 8, that multiplied together give a triangular number (4656 = T₉₆).

The spelling of 5828 in words is "five thousand, eight hundred twenty-eight".