828340812 has 144 divisors (see below), whose sum is σ = 2319250752. Its totient is φ = 247726080.

The previous prime is 828340811. The next prime is 828340819. The reversal of 828340812 is 218043828.

It is a happy number.

It is a super-2 number, since 2×828340812² = 1372297001649638688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (828340811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3222988 + ... + 3223244.

It is an arithmetic number, because the mean of its divisors is an integer number (16105908).

Almost surely, 2^828340812 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 828340812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159625376).

828340812 is an abundant number, since it is smaller than the sum of its proper divisors (1490909940).

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

828340812 is a wasteful number, since it uses less digits than its factorization.

828340812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 828340812 is about 28780.9105484868. The cubic root of 828340812 is about 939.1530064679.

The spelling of 828340812 in words is "eight hundred twenty-eight million, three hundred forty thousand, eight hundred twelve".