728868 has 24 divisors (see below), whose sum is σ = 1943872. Its totient is φ = 208224.

The previous prime is 728867. The next prime is 728869. The reversal of 728868 is 868827.

728868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728867) and next prime (728869).

It is a super-2 number, since 2×728868² = 1062497122848, which contains 22 as substring.

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 in 7 ways as a sum of consecutive naturals, for example, 4255 + ... + 4422.

2⁷²⁸⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

728868 is an abundant number, since it is smaller than the sum of its proper divisors (1215004).

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

728868 is a wasteful number, since it uses less digits than its factorization.

728868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8691 (or 8689 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 728868 is about 853.7376646254. The cubic root of 728868 is about 89.9945675733.

It can be divided in two parts, 728 and 868, that added together give a triangular number (1596 = T₅₆).

The spelling of 728868 in words is "seven hundred twenty-eight thousand, eight hundred sixty-eight".