8284970794828 has 96 divisors (see below), whose sum is σ = 18195511541760. Its totient is φ = 3213206081280.

The previous prime is 8284970794819. The next prime is 8284970794861.

It is a happy number.

8284970794828 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24506583 + ... + 24842353.

It is an arithmetic number, because the mean of its divisors is an integer number (189536578560).

Almost surely, 2^{8284970794828} 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 8284970794828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097755770880).

8284970794828 is an abundant number, since it is smaller than the sum of its proper divisors (9910540746932).

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

8284970794828 is a wasteful number, since it uses less digits than its factorization.

8284970794828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337127 (or 337125 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 76.

The spelling of 8284970794828 in words is "eight trillion, two hundred eighty-four billion, nine hundred seventy million, seven hundred ninety-four thousand, eight hundred twenty-eight".