729328128 has 80 divisors (see below), whose sum is σ = 1949101440. Its totient is φ = 242343936.

The previous prime is 729328123. The next prime is 729328141. The reversal of 729328128 is 821823927.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 729328128.

It is not an unprimeable number, because it can be changed into a prime (729328121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701433 + ... + 702471.

It is an arithmetic number, because the mean of its divisors is an integer number (24363768).

Almost surely, 2^729328128 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 729328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974550720).

729328128 is an abundant number, since it is smaller than the sum of its proper divisors (1219773312).

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

729328128 is a wasteful number, since it uses less digits than its factorization.

729328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1501 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 729328128 is about 27006.0757608357. The cubic root of 729328128 is about 900.1350118442.

The spelling of 729328128 in words is "seven hundred twenty-nine million, three hundred twenty-eight thousand, one hundred twenty-eight".