481728 has 56 divisors (see below), whose sum is σ = 1379728. Its totient is φ = 147456.

The previous prime is 481721. The next prime is 481751. The reversal of 481728 is 827184.

481728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 481695 and 481704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481721) by changing a digit.

481728 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 7 ways as a sum of consecutive naturals, for example, 2400 + ... + 2592.

It is an arithmetic number, because the mean of its divisors is an integer number (24638).

2⁴⁸¹⁷²⁸ is an apocalyptic number.

481728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689864).

481728 is an abundant number, since it is smaller than the sum of its proper divisors (898000).

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

481728 is a wasteful number, since it uses less digits than its factorization.

481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 481728 is about 694.0662792558. The cubic root of 481728 is about 78.3911971235.

It can be divided in two parts, 48 and 1728, that multiplied together give a square (82944 = 288²).

The spelling of 481728 in words is "four hundred eighty-one thousand, seven hundred twenty-eight".