827282728 has 16 divisors (see below), whose sum is σ = 1553719680. Its totient is φ = 412957488.

The previous prime is 827282723. The next prime is 827282737.

827282728 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (827282723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80326 + ... + 90037.

It is an arithmetic number, because the mean of its divisors is an integer number (97107480).

Almost surely, 2^827282728 is an apocalyptic number.

It is an amenable number.

827282728 is a deficient number, since it is larger than the sum of its proper divisors (726436952).

827282728 is a wasteful number, since it uses less digits than its factorization.

827282728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170976 (or 170972 counting only the distinct ones).

The product of its digits is 401408, while the sum is 46.

The square root of 827282728 is about 28762.5229769574. The cubic root of 827282728 is about 938.7529593058.

The spelling of 827282728 in words is "eight hundred twenty-seven million, two hundred eighty-two thousand, seven hundred twenty-eight".