24281728128 has 192 divisors, whose sum is σ = 83365783200. Its totient is φ = 6937588224.

The previous prime is 24281728127. The next prime is 24281728169. The reversal of 24281728128 is 82182718242.

It is a tau number, because it is divible by the number of its divisors (192).

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 (24281728123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97651 + ... + 241037.

Almost surely, 2^24281728128 is an apocalyptic number.

24281728128 is a gapful number since it is divisible by the number (28) 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 24281728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41682891600).

24281728128 is an abundant number, since it is smaller than the sum of its proper divisors (59084055072).

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

24281728128 is a wasteful number, since it uses less digits than its factorization.

24281728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143424 (or 143399 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The spelling of 24281728128 in words is "twenty-four billion, two hundred eighty-one million, seven hundred twenty-eight thousand, one hundred twenty-eight".