443725128 has 160 divisors (see below), whose sum is σ = 1549690560. Its totient is φ = 115240320.

The previous prime is 443725111. The next prime is 443725147. The reversal of 443725128 is 821527344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 443725092 and 443725101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45450 + ... + 54342.

It is an arithmetic number, because the mean of its divisors is an integer number (9685566).

Almost surely, 2^443725128 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 443725128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774845280).

443725128 is an abundant number, since it is smaller than the sum of its proper divisors (1105965432).

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

443725128 is a wasteful number, since it uses less digits than its factorization.

443725128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8916 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 443725128 is about 21064.7840720004. The cubic root of 443725128 is about 762.7309001694.

The spelling of 443725128 in words is "four hundred forty-three million, seven hundred twenty-five thousand, one hundred twenty-eight".