802728 has 24 divisors (see below), whose sum is σ = 2174250. Its totient is φ = 267552.

The previous prime is 802721. The next prime is 802729. The reversal of 802728 is 827208.

It can be written as a sum of positive squares in only one way, i.e., 736164 + 66564 = 858^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802728.

It is not an unprimeable number, because it can be changed into a prime (802721) by changing a digit.

802728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5503 + ... + 5646.

2⁸⁰²⁷²⁸ is an apocalyptic number.

It is an amenable number.

802728 is an abundant number, since it is smaller than the sum of its proper divisors (1371522).

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

802728 is a wasteful number, since it uses less digits than its factorization.

802728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 802728 is about 895.9508915114. The cubic root of 802728 is about 92.9371757454.

The spelling of 802728 in words is "eight hundred two thousand, seven hundred twenty-eight".