488628 has 54 divisors (see below), whose sum is σ = 1441986. Its totient is φ = 139104.

The previous prime is 488627. The next prime is 488633. The reversal of 488628 is 826884.

488628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 142884 = 588^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 488592 and 488601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488627) 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 17 ways as a sum of consecutive naturals, for example, 1626 + ... + 1902.

2⁴⁸⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720993).

488628 is an abundant number, since it is smaller than the sum of its proper divisors (953358).

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

488628 is a wasteful number, since it uses less digits than its factorization.

488628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 488628 is about 699.0193130379. The cubic root of 488628 is about 78.7637013197.

The spelling of 488628 in words is "four hundred eighty-eight thousand, six hundred twenty-eight".