828689823 has 24 divisors (see below), whose sum is σ = 1292508672. Its totient is φ = 508603968.

The previous prime is 828689753. The next prime is 828689833. The reversal of 828689823 is 328986828.

It is not a de Polignac number, because 828689823 - 2¹⁷ = 828558751 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 828689823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828689833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35565 + ... + 54057.

It is an arithmetic number, because the mean of its divisors is an integer number (53854528).

Almost surely, 2^828689823 is an apocalyptic number.

828689823 is a deficient number, since it is larger than the sum of its proper divisors (463818849).

828689823 is a wasteful number, since it uses less digits than its factorization.

828689823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18895 (or 18892 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 828689823 is about 28786.9731475888. The cubic root of 828689823 is about 939.2848880563.

The spelling of 828689823 in words is "eight hundred twenty-eight million, six hundred eighty-nine thousand, eight hundred twenty-three".