728585 has 16 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 488640.

The previous prime is 728579. The next prime is 728627. The reversal of 728585 is 585827.

728585 = T₃₄ + T₃₅ + ... + T₁₆₃.

It is not a de Polignac number, because 728585 - 2⁶ = 728521 is a prime.

It is a super-2 number, since 2×728585² = 1061672204450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2⁷²⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

728585 is a deficient number, since it is larger than the sum of its proper divisors (299575).

728585 is a wasteful number, since it uses less digits than its factorization.

728585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048.

The product of its digits is 22400, while the sum is 35.

The square root of 728585 is about 853.5719067542. The cubic root of 728585 is about 89.9829185690.

The spelling of 728585 in words is "seven hundred twenty-eight thousand, five hundred eighty-five".