6828338286 has 128 divisors (see below), whose sum is σ = 20031390720. Its totient is φ = 1669248000.

The previous prime is 6828338249. The next prime is 6828338291.

6828338286 is a `hidden beast` number, since 6 + 8 + 28 + 338 + 286 = 666.

6828338286 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22386 + ... + 118986.

It is an arithmetic number, because the mean of its divisors is an integer number (156495240).

Almost surely, 2^6828338286 is an apocalyptic number.

6828338286 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828338286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015695360).

6828338286 is an abundant number, since it is smaller than the sum of its proper divisors (13203052434).

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

6828338286 is a wasteful number, since it uses less digits than its factorization.

6828338286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96647 (or 96641 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 6828338286 is about 82633.7599652830. The cubic root of 6828338286 is about 1897.1645875607.

The spelling of 6828338286 in words is "six billion, eight hundred twenty-eight million, three hundred thirty-eight thousand, two hundred eighty-six".