487728 has 40 divisors (see below), whose sum is σ = 1401200. Its totient is φ = 162432.

The previous prime is 487727. The next prime is 487733. The reversal of 487728 is 827784.

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 = 487692 and 487701.

It is not an unprimeable number, because it can be changed into a prime (487727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (35030).

2⁴⁸⁷⁷²⁸ is an apocalyptic number.

487728 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 487728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700600).

487728 is an abundant number, since it is smaller than the sum of its proper divisors (913472).

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

487728 is a wasteful number, since it uses less digits than its factorization.

487728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 487728 is about 698.3752572937. The cubic root of 487728 is about 78.7153135223.

It can be divided in two parts, 48 and 7728, that added together give a 5-th power (7776 = 6⁵).

The spelling of 487728 in words is "four hundred eighty-seven thousand, seven hundred twenty-eight".