828666828 has 96 divisors (see below), whose sum is σ = 2419415040. Its totient is φ = 243000000.

The previous prime is 828666791. The next prime is 828666863.

828666828 is nontrivially palindromic in base 10.

828666828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25578 + ... + 48078.

It is an arithmetic number, because the mean of its divisors is an integer number (25202240).

Almost surely, 2^828666828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828666828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209707520).

828666828 is an abundant number, since it is smaller than the sum of its proper divisors (1590748212).

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

828666828 is a wasteful number, since it uses less digits than its factorization.

828666828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22556 (or 22548 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 828666828 is about 28786.5737454112. The cubic root of 828666828 is about 939.2762000225.

The spelling of 828666828 in words is "eight hundred twenty-eight million, six hundred sixty-six thousand, eight hundred twenty-eight".