485928 has 48 divisors (see below), whose sum is σ = 1396980. Its totient is φ = 152064.

The previous prime is 485923. The next prime is 485941. The reversal of 485928 is 829584.

485928 = 14³ + 15³ + ... + 37³.

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 26244 = 678^2 + 162^2 .

It is a super-2 number, since 2×485928² = 472252042368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 485892 and 485901.

It is not an unprimeable number, because it can be changed into a prime (485923) by changing a digit.

485928 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 11 ways as a sum of consecutive naturals, for example, 1026 + ... + 1422.

2⁴⁸⁵⁹²⁸ 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 485928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698490).

485928 is an abundant number, since it is smaller than the sum of its proper divisors (911052).

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

485928 is a wasteful number, since it uses less digits than its factorization.

485928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 485928 is about 697.0853606267. The cubic root of 485928 is about 78.6183590547.

The spelling of 485928 in words is "four hundred eighty-five thousand, nine hundred twenty-eight".