827646728 has 16 divisors (see below), whose sum is σ = 1581118380. Its totient is φ = 406015168.

The previous prime is 827646713. The next prime is 827646731.

827646728 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 805537924 + 22108804 = 28382^2 + 4702^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 975575 + ... + 976422.

Almost surely, 2^827646728 is an apocalyptic number.

It is an amenable number.

827646728 is a deficient number, since it is larger than the sum of its proper divisors (753471652).

827646728 is a wasteful number, since it uses less digits than its factorization.

827646728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952056 (or 1952052 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The square root of 827646728 is about 28768.8499596352. The cubic root of 827646728 is about 938.8906212205.

The spelling of 827646728 in words is "eight hundred twenty-seven million, six hundred forty-six thousand, seven hundred twenty-eight".