828518040 has 96 divisors (see below), whose sum is σ = 3077362080. Its totient is φ = 189374976.

The previous prime is 828518039. The next prime is 828518051. The reversal of 828518040 is 40815828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 828517986 and 828518004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 161869 + ... + 166908.

It is an arithmetic number, because the mean of its divisors is an integer number (32055855).

Almost surely, 2^828518040 is an apocalyptic number.

It is an amenable number.

828518040 is an abundant number, since it is smaller than the sum of its proper divisors (2248844040).

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

828518040 is a wasteful number, since it uses less digits than its factorization.

828518040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328801 (or 328794 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 828518040 is about 28783.9892996089. The cubic root of 828518040 is about 939.2199806479.

The spelling of 828518040 in words is "eight hundred twenty-eight million, five hundred eighteen thousand, forty".