8283646728 has 192 divisors, whose sum is σ = 26782704000. Its totient is φ = 2263458816.

The previous prime is 8283646727. The next prime is 8283646757. The reversal of 8283646728 is 8276463828.

8283646728 is a `hidden beast` number, since 82 + 83 + 6 + 467 + 28 = 666.

It is a super-2 number, since 2×8283646728² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8283646727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096468 + ... + 1103996.

It is an arithmetic number, because the mean of its divisors is an integer number (139493250).

Almost surely, 2^8283646728 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 8283646728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391352000).

8283646728 is an abundant number, since it is smaller than the sum of its proper divisors (18499057272).

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

8283646728 is a wasteful number, since it uses less digits than its factorization.

8283646728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7637 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 8283646728 is about 91014.5412997286. The cubic root of 8283646728 is about 2023.3632440292.

The spelling of 8283646728 in words is "eight billion, two hundred eighty-three million, six hundred forty-six thousand, seven hundred twenty-eight".