4783984128 has 480 divisors, whose sum is σ = 17516378880. Its totient is φ = 1220935680.

The previous prime is 4783984111. The next prime is 4783984133. The reversal of 4783984128 is 8214893874.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34417083 + ... + 34417221.

It is an arithmetic number, because the mean of its divisors is an integer number (36492456).

Almost surely, 2^4783984128 is an apocalyptic number.

4783984128 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 4783984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758189440).

4783984128 is an abundant number, since it is smaller than the sum of its proper divisors (12732394752).

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

4783984128 is a wasteful number, since it uses less digits than its factorization.

4783984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 4783984128 is about 69166.3511253847. The cubic root of 4783984128 is about 1684.9870859310.

The spelling of 4783984128 in words is "four billion, seven hundred eighty-three million, nine hundred eighty-four thousand, one hundred twenty-eight".