586728 has 48 divisors (see below), whose sum is σ = 1649700. Its totient is φ = 188160.

The previous prime is 586723. The next prime is 586741. The reversal of 586728 is 827685.

586728 is a `hidden beast` number, since 586 + 72 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 580644 + 6084 = 762^2 + 78^2 .

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 = 586692 and 586701.

It is not an unprimeable number, because it can be changed into a prime (586723) 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 11 ways as a sum of consecutive naturals, for example, 1948 + ... + 2228.

2⁵⁸⁶⁷²⁸ is an apocalyptic number.

586728 is a gapful number since it is divisible by the number (58) 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 586728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824850).

586728 is an abundant number, since it is smaller than the sum of its proper divisors (1062972).

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

586728 is a wasteful number, since it uses less digits than its factorization.

586728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 586728 is about 765.9817230196. The cubic root of 586728 is about 83.7167329076.

It can be divided in two parts, 58 and 6728, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 586728 in words is "five hundred eighty-six thousand, seven hundred twenty-eight".