828282828 has 48 divisors (see below), whose sum is σ = 1969752960. Its totient is φ = 270816384.

The previous prime is 828282817. The next prime is 828282839.

828282828 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (828282817) and next prime (828282839).

828282828 is an undulating number in base 10.

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 15 ways as a sum of consecutive naturals, for example, 414600 + ... + 416592.

It is an arithmetic number, because the mean of its divisors is an integer number (41036520).

Almost surely, 2^828282828 is an apocalyptic number.

It is an amenable number.

828282828 is an abundant number, since it is smaller than the sum of its proper divisors (1141470132).

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

828282828 is a wasteful number, since it uses less digits than its factorization.

828282828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2644 counting only the distinct ones).

The product of its digits is 524288, while the sum is 48.

The square root of 828282828 is about 28779.9031965015. The cubic root of 828282828 is about 939.1310923323.

The spelling of 828282828 in words is "eight hundred twenty-eight million, two hundred eighty-two thousand, eight hundred twenty-eight".