728768 has 28 divisors (see below), whose sum is σ = 1478280. Its totient is φ = 356352.

The previous prime is 728747. The next prime is 728771. The reversal of 728768 is 867827.

It is a super-2 number, since 2×728768² = 1062205595648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3680 + ... + 3872.

2⁷²⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739140).

728768 is an abundant number, since it is smaller than the sum of its proper divisors (749512).

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

728768 is a wasteful number, since it uses less digits than its factorization.

728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 728768 is about 853.6790966165. The cubic root of 728768 is about 89.9904516619.

The spelling of 728768 in words is "seven hundred twenty-eight thousand, seven hundred sixty-eight".