728856 has 48 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 237120.

The previous prime is 728851. The next prime is 728867. The reversal of 728856 is 658827.

728856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (26880) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 728856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728851) by changing a digit.

728856 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 in 11 ways as a sum of consecutive naturals, for example, 3721 + ... + 3911.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁷²⁸⁸⁵⁶ 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 728856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010880).

728856 is an abundant number, since it is smaller than the sum of its proper divisors (1292904).

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

728856 is a wasteful number, since it uses less digits than its factorization.

728856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 728856 is about 853.7306366765. The cubic root of 728856 is about 89.9940736838.

The spelling of 728856 in words is "seven hundred twenty-eight thousand, eight hundred fifty-six".