656728 has 16 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 324768.

The previous prime is 656707. The next prime is 656737. The reversal of 656728 is 827656.

It is a d-powerful number, because it can be written as 6⁴ + 5⁸ + 7³ + 6⁴ + 2¹⁰ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 656693 and 656702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 426 + ... + 1222.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2⁶⁵⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

656728 is a deficient number, since it is larger than the sum of its proper divisors (588152).

656728 is a wasteful number, since it uses less digits than its factorization.

656728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 656728 is about 810.3875616025. The cubic root of 656728 is about 86.9217599315.

The spelling of 656728 in words is "six hundred fifty-six thousand, seven hundred twenty-eight".