848282848 has 48 divisors (see below), whose sum is σ = 1928362464. Its totient is φ = 359792640.

The previous prime is 848282833. The next prime is 848282879.

848282848 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×848282848² = 1439167580421982208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 848282795 and 848282804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2208 + ... + 41248.

It is an arithmetic number, because the mean of its divisors is an integer number (40174218).

Almost surely, 2^848282848 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 848282848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964181232).

848282848 is an abundant number, since it is smaller than the sum of its proper divisors (1080079616).

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

848282848 is a wasteful number, since it uses less digits than its factorization.

848282848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39155 (or 39147 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 52.

The square root of 848282848 is about 29125.2956723189. The cubic root of 848282848 is about 946.6299234124.

The spelling of 848282848 in words is "eight hundred forty-eight million, two hundred eighty-two thousand, eight hundred forty-eight".