827686728 has 64 divisors (see below), whose sum is σ = 2508148800. Its totient is φ = 250813440.

The previous prime is 827686723. The next prime is 827686729.

827686728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (827686723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171801 + ... + 176552.

It is an arithmetic number, because the mean of its divisors is an integer number (39189825).

Almost surely, 2^827686728 is an apocalyptic number.

827686728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827686728 is an abundant number, since it is smaller than the sum of its proper divisors (1680462072).

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

827686728 is a wasteful number, since it uses less digits than its factorization.

827686728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348379 (or 348369 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 827686728 is about 28769.5451476036. The cubic root of 827686728 is about 938.9057464418.

The spelling of 827686728 in words is "eight hundred twenty-seven million, six hundred eighty-six thousand, seven hundred twenty-eight".