827666728 has 32 divisors (see below), whose sum is σ = 1834732800. Its totient is φ = 342482112.

The previous prime is 827666717. The next prime is 827666729.

827666728 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (827666729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253200 + ... + 256447.

It is an arithmetic number, because the mean of its divisors is an integer number (57335400).

Almost surely, 2^827666728 is an apocalyptic number.

It is an amenable number.

827666728 is an abundant number, since it is smaller than the sum of its proper divisors (1007066072).

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

827666728 is a wasteful number, since it uses less digits than its factorization.

827666728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509689 (or 509685 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The square root of 827666728 is about 28769.1975557192. The cubic root of 827666728 is about 938.8981838921.

The spelling of 827666728 in words is "eight hundred twenty-seven million, six hundred sixty-six thousand, seven hundred twenty-eight".