845728 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 366336.

The previous prime is 845723. The next prime is 845729. The reversal of 845728 is 827548.

845728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 845693 and 845702.

It is not an unprimeable number, because it can be changed into a prime (845723) by changing a digit.

845728 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 7 ways as a sum of consecutive naturals, for example, 7851 + ... + 7957.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁸⁴⁵⁷²⁸ 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 845728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

845728 is an abundant number, since it is smaller than the sum of its proper divisors (1059392).

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

845728 is a wasteful number, since it uses less digits than its factorization.

845728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 845728 is about 919.6347100887. The cubic root of 845728 is about 94.5678618219.

The spelling of 845728 in words is "eight hundred forty-five thousand, seven hundred twenty-eight".