8482002848 has 96 divisors (see below), whose sum is σ = 19442239488. Its totient is φ = 3599769600.

The previous prime is 8482002829. The next prime is 8482002863.

8482002848 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8482002848² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 8482002799 and 8482002808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754388 + ... + 765548.

It is an arithmetic number, because the mean of its divisors is an integer number (202523328).

Almost surely, 2^8482002848 is an apocalyptic number.

8482002848 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 8482002848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721119744).

8482002848 is an abundant number, since it is smaller than the sum of its proper divisors (10960236640).

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

8482002848 is a wasteful number, since it uses less digits than its factorization.

8482002848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 8482002848 is about 92097.7895934533. The cubic root of 8482002848 is about 2039.3861769789.

The spelling of 8482002848 in words is "eight billion, four hundred eighty-two million, two thousand, eight hundred forty-eight".