728864 has 12 divisors (see below), whose sum is σ = 1435014. Its totient is φ = 364416.

The previous prime is 728851. The next prime is 728867. The reversal of 728864 is 468827.

728864 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 478864 + 250000 = 692^2 + 500^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

728864 is an undulating number in base 15.

It is not an unprimeable number, because it can be changed into a prime (728867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11357 + ... + 11420.

2⁷²⁸⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

728864 is a deficient number, since it is larger than the sum of its proper divisors (706150).

728864 is a wasteful number, since it uses less digits than its factorization.

728864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22787 (or 22779 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 728864 is about 853.7353219822. The cubic root of 728864 is about 89.9944029441.

The spelling of 728864 in words is "seven hundred twenty-eight thousand, eight hundred sixty-four".