729152928 has 180 divisors, whose sum is σ = 2494962162. Its totient is φ = 208293120.

The previous prime is 729152903. The next prime is 729152929. The reversal of 729152928 is 829251927.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 622402704 + 106750224 = 24948^2 + 10332^2 .

It is not an unprimeable number, because it can be changed into a prime (729152929) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 124138 + ... + 129878.

Almost surely, 2^729152928 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 729152928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247481081).

729152928 is an abundant number, since it is smaller than the sum of its proper divisors (1765809234).

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

729152928 is a wasteful number, since it uses less digits than its factorization.

729152928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5753 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 729152928 is about 27002.8318514929. The cubic root of 729152928 is about 900.0629289332.

The spelling of 729152928 in words is "seven hundred twenty-nine million, one hundred fifty-two thousand, nine hundred twenty-eight".