8128284648 has 128 divisors (see below), whose sum is σ = 22594982400. Its totient is φ = 2415916800.

The previous prime is 8128284631. The next prime is 8128284673. The reversal of 8128284648 is 8464828218.

It is a Cunningham number, because it is equal to 90157²-1.

It is a super-2 number, since 2×8128284648² (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 a self number, because there is not a number n which added to its sum of digits gives 8128284648.

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, 10998663 + ... + 10999401.

It is an arithmetic number, because the mean of its divisors is an integer number (176523300).

Almost surely, 2^8128284648 is an apocalyptic number.

8128284648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8128284648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297491200).

8128284648 is an abundant number, since it is smaller than the sum of its proper divisors (14466697752).

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

8128284648 is a wasteful number, since it uses less digits than its factorization.

8128284648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1499 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 51.

The square root of 8128284648 is about 90156.9999944541. Note that the first 5 decimals coincide. The cubic root of 8128284648 is about 2010.6337488239.

The spelling of 8128284648 in words is "eight billion, one hundred twenty-eight million, two hundred eighty-four thousand, six hundred forty-eight".