4384996128 has 192 divisors, whose sum is σ = 13455590400. Its totient is φ = 1387376640.

The previous prime is 4384996093. The next prime is 4384996129. The reversal of 4384996128 is 8216994834.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (4384996129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418008 + ... + 1421096.

It is an arithmetic number, because the mean of its divisors is an integer number (70081200).

Almost surely, 2^4384996128 is an apocalyptic number.

4384996128 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 4384996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727795200).

4384996128 is an abundant number, since it is smaller than the sum of its proper divisors (9070594272).

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

4384996128 is a wasteful number, since it uses less digits than its factorization.

4384996128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3178 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4384996128 is about 66219.3032883917. The cubic root of 4384996128 is about 1636.7778456079. Note that the first 3 decimals are identical.

The spelling of 4384996128 in words is "four billion, three hundred eighty-four million, nine hundred ninety-six thousand, one hundred twenty-eight".