828518028 has 192 divisors, whose sum is σ = 2312110080. Its totient is φ = 228614400.

The previous prime is 828518027. The next prime is 828518039. The reversal of 828518028 is 820815828.

It is not an unprimeable number, because it can be changed into a prime (828518027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6523701 + ... + 6523827.

It is an arithmetic number, because the mean of its divisors is an integer number (12042240).

Almost surely, 2^828518028 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 828518028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156055040).

828518028 is an abundant number, since it is smaller than the sum of its proper divisors (1483592052).

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

828518028 is a wasteful number, since it uses less digits than its factorization.

828518028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 828518028 is about 28783.9890911597. The cubic root of 828518028 is about 939.2199761134.

The spelling of 828518028 in words is "eight hundred twenty-eight million, five hundred eighteen thousand, twenty-eight".