55828 has 12 divisors (see below), whose sum is σ = 103572. Its totient is φ = 26240.

The previous prime is 55823. The next prime is 55829. The reversal of 55828 is 82855.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 26244 = 172^2 + 162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55796 and 55805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55823) by changing a digit.

55828 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 343 + ... + 478.

It is an arithmetic number, because the mean of its divisors is an integer number (8631).

2⁵⁵⁸²⁸ is an apocalyptic number.

It is an amenable number.

55828 is a deficient number, since it is larger than the sum of its proper divisors (47744).

55828 is a wasteful number, since it uses less digits than its factorization.

55828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 840 counting only the distinct ones).

The product of its digits is 3200, while the sum is 28.

The square root of 55828 is about 236.2794955133. The cubic root of 55828 is about 38.2194139415.

The spelling of 55828 in words is "fifty-five thousand, eight hundred twenty-eight".