48628 has 6 divisors (see below), whose sum is σ = 85106. Its totient is φ = 24312.

The previous prime is 48623. The next prime is 48647. The reversal of 48628 is 82684.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 19044 = 172^2 + 138^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 48596 and 48605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48623) 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 as a sum of consecutive naturals, namely, 6075 + ... + 6082.

2⁴⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

48628 is a deficient number, since it is larger than the sum of its proper divisors (36478).

48628 is a wasteful number, since it uses less digits than its factorization.

48628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12161 (or 12159 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 48628 is about 220.5175729959. The cubic root of 48628 is about 36.5002189266.

It can be divided in two parts, 48 and 628, that added together give a palindrome (676).

The spelling of 48628 in words is "forty-eight thousand, six hundred twenty-eight".