828084516 has 72 divisors (see below), whose sum is σ = 2284603776. Its totient is φ = 232706880.

The previous prime is 828084469. The next prime is 828084533. The reversal of 828084516 is 615480828.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 24325 + ... + 47411.

It is an arithmetic number, because the mean of its divisors is an integer number (31730608).

Almost surely, 2^828084516 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 828084516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142301888).

828084516 is an abundant number, since it is smaller than the sum of its proper divisors (1456519260).

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

828084516 is a wasteful number, since it uses less digits than its factorization.

828084516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23169 (or 23160 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 828084516 is about 28776.4576694214. The cubic root of 828084516 is about 939.0561357175.

The spelling of 828084516 in words is "eight hundred twenty-eight million, eighty-four thousand, five hundred sixteen".