4442738328 has 256 divisors, whose sum is σ = 15064473600. Its totient is φ = 1185528960.

The previous prime is 4442738273. The next prime is 4442738329. The reversal of 4442738328 is 8238372444.

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 (4442738329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493883 + ... + 1496853.

It is an arithmetic number, because the mean of its divisors is an integer number (58845600).

Almost surely, 2^4442738328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442738328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7532236800).

4442738328 is an abundant number, since it is smaller than the sum of its proper divisors (10621735272).

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

4442738328 is a wasteful number, since it uses less digits than its factorization.

4442738328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3049 counting only the distinct ones).

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

The square root of 4442738328 is about 66653.8695650898. The cubic root of 4442738328 is about 1643.9309737122.

The spelling of 4442738328 in words is "four billion, four hundred forty-two million, seven hundred thirty-eight thousand, three hundred twenty-eight".