789481728 has 432 divisors, whose sum is σ = 2827260800. Its totient is φ = 219469824.

The previous prime is 789481727. The next prime is 789481757. The reversal of 789481728 is 827184987.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1806336) is a multiple of the sum of its prime divisors (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789481723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21337326 + ... + 21337362.

Almost surely, 2^789481728 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 789481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413630400).

789481728 is an abundant number, since it is smaller than the sum of its proper divisors (2037779072).

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

789481728 is an frugal number, since it uses more digits than its factorization.

789481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 789481728 is about 28097.7174873690. The cubic root of 789481728 is about 924.2313470302.

The spelling of 789481728 in words is "seven hundred eighty-nine million, four hundred eighty-one thousand, seven hundred twenty-eight".