57828 has 24 divisors (see below), whose sum is σ = 138880. Its totient is φ = 18720.

The previous prime is 57809. The next prime is 57829. The reversal of 57828 is 82875.

57828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57795 and 57804.

It is not an unprimeable number, because it can be changed into a prime (57829) by changing a digit.

57828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 771.

2⁵⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

57828 is an abundant number, since it is smaller than the sum of its proper divisors (81052).

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 (69440).

57828 is a wasteful number, since it uses less digits than its factorization.

57828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 57828 is about 240.4745308759. The cubic root of 57828 is about 38.6704646818.

It can be divided in two parts, 578 and 28, that added together give a palindrome (606).

The spelling of 57828 in words is "fifty-seven thousand, eight hundred twenty-eight".