4882096128 has 448 divisors, whose sum is σ = 16734251520. Its totient is φ = 1231552512.

The previous prime is 4882096123. The next prime is 4882096129. The reversal of 4882096128 is 8216902884.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4882096123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 82747363 + ... + 82747421.

It is an arithmetic number, because the mean of its divisors is an integer number (37353240).

Almost surely, 2^4882096128 is an apocalyptic number.

4882096128 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 4882096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367125760).

4882096128 is an abundant number, since it is smaller than the sum of its proper divisors (11852155392).

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

4882096128 is a wasteful number, since it uses less digits than its factorization.

4882096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 4882096128 is about 69871.9981680787. The cubic root of 4882096128 is about 1696.4280395822.

The spelling of 4882096128 in words is "four billion, eight hundred eighty-two million, ninety-six thousand, one hundred twenty-eight".