4829833008 has 960 divisors, whose sum is σ = 20200707072. Its totient is φ = 1074954240.

The previous prime is 4829832983. The next prime is 4829833013. The reversal of 4829833008 is 8003389284.

It is a Cunningham number, because it is equal to 69497²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66162060 + ... + 66162132.

Almost surely, 2^4829833008 is an apocalyptic number.

4829833008 is a gapful number since it is divisible by the number (48) 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 4829833008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100353536).

4829833008 is an abundant number, since it is smaller than the sum of its proper divisors (15370874064).

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

4829833008 is a wasteful number, since it uses less digits than its factorization.

4829833008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4829833008 is about 69496.9999928054. Note that the first 5 decimals coincide. The cubic root of 4829833008 is about 1690.3528560745.

The spelling of 4829833008 in words is "four billion, eight hundred twenty-nine million, eight hundred thirty-three thousand, eight".