827626728 has 32 divisors (see below), whose sum is σ = 2069892000. Its totient is φ = 275765568.

The previous prime is 827626721. The next prime is 827626729.

It is a happy number.

827626728 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (827626721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73950 + ... + 84402.

It is an arithmetic number, because the mean of its divisors is an integer number (64684125).

Almost surely, 2^827626728 is an apocalyptic number.

It is an amenable number.

827626728 is an abundant number, since it is smaller than the sum of its proper divisors (1242265272).

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

827626728 is a wasteful number, since it uses less digits than its factorization.

827626728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761 (or 13757 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 827626728 is about 28768.5023593513. The cubic root of 827626728 is about 938.8830584271.

The spelling of 827626728 in words is "eight hundred twenty-seven million, six hundred twenty-six thousand, seven hundred twenty-eight".