828222828 has 24 divisors (see below), whose sum is σ = 1977463488. Its totient is φ = 269653776.

The previous prime is 828222817. The next prime is 828222833.

828222828 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 828222828.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 802026 + ... + 803057.

It is an arithmetic number, because the mean of its divisors is an integer number (82394312).

Almost surely, 2^828222828 is an apocalyptic number.

It is an amenable number.

828222828 is an abundant number, since it is smaller than the sum of its proper divisors (1149240660).

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

828222828 is a wasteful number, since it uses less digits than its factorization.

828222828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605133 (or 1605131 counting only the distinct ones).

The product of its digits is 131072, while the sum is 42.

The square root of 828222828 is about 28778.8607835682. The cubic root of 828222828 is about 939.1084152047.

The spelling of 828222828 in words is "eight hundred twenty-eight million, two hundred twenty-two thousand, eight hundred twenty-eight".