4189066728 has 256 divisors, whose sum is σ = 13837271040. Its totient is φ = 1024531200.

The previous prime is 4189066723. The next prime is 4189066741. The reversal of 4189066728 is 8276609814.

4189066728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 64723²-1.

It is not an unprimeable number, because it can be changed into a prime (4189066723) 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, 2847033 + ... + 2848503.

It is an arithmetic number, because the mean of its divisors is an integer number (54051840).

Almost surely, 2^4189066728 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 4189066728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918635520).

4189066728 is an abundant number, since it is smaller than the sum of its proper divisors (9648204312).

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

4189066728 is a wasteful number, since it uses less digits than its factorization.

4189066728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 4189066728 is about 64722.9999922748. Note that the first 5 decimals coincide. The cubic root of 4189066728 is about 1612.0274251482.

The spelling of 4189066728 in words is "four billion, one hundred eighty-nine million, sixty-six thousand, seven hundred twenty-eight".