827949728 has 24 divisors (see below), whose sum is σ = 1631689920. Its totient is φ = 413552320.

The previous prime is 827949709. The next prime is 827949751.

827949728 is nontrivially palindromic in base 10.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 19913 + ... + 45303.

It is an arithmetic number, because the mean of its divisors is an integer number (67987080).

Almost surely, 2^827949728 is an apocalyptic number.

It is an amenable number.

827949728 is a deficient number, since it is larger than the sum of its proper divisors (803740192).

827949728 is a wasteful number, since it uses less digits than its factorization.

827949728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26420 (or 26412 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 56.

The square root of 827949728 is about 28774.1155902314. The cubic root of 827949728 is about 939.0051826388.

The spelling of 827949728 in words is "eight hundred twenty-seven million, nine hundred forty-nine thousand, seven hundred twenty-eight".