4423893128928 has 768 divisors, whose sum is σ = 17017812080640. Its totient is φ = 1084851781632.

The previous prime is 4423893128861. The next prime is 4423893128929. The reversal of 4423893128928 is 8298213983244.

4423893128928 is a `hidden beast` number, since 4 + 4 + 238 + 9 + 312 + 89 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4423893128929) 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 127 ways as a sum of consecutive naturals, for example, 110918526 + ... + 110958402.

It is an arithmetic number, because the mean of its divisors is an integer number (22158609480).

Almost surely, 2^{4423893128928} is an apocalyptic number.

4423893128928 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 4423893128928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8508906040320).

4423893128928 is an abundant number, since it is smaller than the sum of its proper divisors (12593918951712).

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

4423893128928 is a wasteful number, since it uses less digits than its factorization.

4423893128928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40016 (or 40002 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 4423893128928 in words is "four trillion, four hundred twenty-three billion, eight hundred ninety-three million, one hundred twenty-eight thousand, nine hundred twenty-eight".