48828 has 24 divisors (see below), whose sum is σ = 123088. Its totient is φ = 14976.

The previous prime is 48823. The next prime is 48847. The reversal of 48828 is 82884.

48828 is nontrivially palindromic in base 5.

48828 is a nontrivial binomial coefficient, being equal to C(313, 2).

48828 is an undulating number in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 48795 and 48804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 312.

2⁴⁸⁸²⁸ is an apocalyptic number.

48828 is the 312-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61544).

48828 is an abundant number, since it is smaller than the sum of its proper divisors (74260).

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

48828 is a wasteful number, since it uses less digits than its factorization.

48828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 48828 is about 220.9705862779. The cubic root of 48828 is about 36.5501905381.

The spelling of 48828 in words is "forty-eight thousand, eight hundred twenty-eight".