4448233728 has 216 divisors, whose sum is σ = 13363590240. Its totient is φ = 1421844480.

The previous prime is 4448233723. The next prime is 4448233729. The reversal of 4448233728 is 8273328444.

It is not an unprimeable number, because it can be changed into a prime (4448233723) 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, 5844868 + ... + 5845628.

Almost surely, 2^4448233728 is an apocalyptic number.

4448233728 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 4448233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681795120).

4448233728 is an abundant number, since it is smaller than the sum of its proper divisors (8915356512).

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

4448233728 is a wasteful number, since it uses less digits than its factorization.

4448233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 868 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 4448233728 is about 66695.0802383504. The cubic root of 4448233728 is about 1644.6085089995.

It can be divided in two parts, 44482 and 33728, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 4448233728 in words is "four billion, four hundred forty-eight million, two hundred thirty-three thousand, seven hundred twenty-eight".