827888728 has 32 divisors (see below), whose sum is σ = 1641467520. Its totient is φ = 390816000.

The previous prime is 827888717. The next prime is 827888753.

827888728 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30543 + ... + 50878.

It is an arithmetic number, because the mean of its divisors is an integer number (51295860).

Almost surely, 2^827888728 is an apocalyptic number.

It is an amenable number.

827888728 is a deficient number, since it is larger than the sum of its proper divisors (813578792).

827888728 is a wasteful number, since it uses less digits than its factorization.

827888728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81499 (or 81495 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 58.

The square root of 827888728 is about 28773.0555902567. The cubic root of 827888728 is about 938.9821213663.

The spelling of 827888728 in words is "eight hundred twenty-seven million, eight hundred eighty-eight thousand, seven hundred twenty-eight".