789193728 has 132 divisors (see below), whose sum is σ = 2399247760. Its totient is φ = 249163776.

The previous prime is 789193723. The next prime is 789193759. The reversal of 789193728 is 827391987.

It is not an unprimeable number, because it can be changed into a prime (789193723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172851 + ... + 177357.

Almost surely, 2^789193728 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 789193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199623880).

789193728 is an abundant number, since it is smaller than the sum of its proper divisors (1610054032).

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

789193728 is a wasteful number, since it uses less digits than its factorization.

789193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4531 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 789193728 is about 28092.5920484387. The cubic root of 789193728 is about 924.1189479748.

The spelling of 789193728 in words is "seven hundred eighty-nine million, one hundred ninety-three thousand, seven hundred twenty-eight".