805728 has 96 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 207360.

The previous prime is 805723. The next prime is 805729. The reversal of 805728 is 827508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 805695 and 805704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805723) by changing a digit.

805728 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 15 ways as a sum of consecutive naturals, for example, 7338 + ... + 7446.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁸⁰⁵⁷²⁸ is an apocalyptic number.

805728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

805728 is an abundant number, since it is smaller than the sum of its proper divisors (1855392).

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

805728 is a wasteful number, since it uses less digits than its factorization.

805728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 805728 is about 897.6235291034. The cubic root of 805728 is about 93.0528084863.

The spelling of 805728 in words is "eight hundred five thousand, seven hundred twenty-eight".