728968 has 8 divisors (see below), whose sum is σ = 1366830. Its totient is φ = 364480.

The previous prime is 728953. The next prime is 728969. The reversal of 728968 is 869827.

728968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 515524 + 213444 = 718^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 728968.

It is not an unprimeable number, because it can be changed into a prime (728969) by changing a digit.

728968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45553 + ... + 45568.

2⁷²⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

728968 is a deficient number, since it is larger than the sum of its proper divisors (637862).

728968 is a wasteful number, since it uses less digits than its factorization.

728968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91127 (or 91123 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 728968 is about 853.7962286166. The cubic root of 728968 is about 89.9986831083.

The spelling of 728968 in words is "seven hundred twenty-eight thousand, nine hundred sixty-eight".