729776928 has 96 divisors (see below), whose sum is σ = 2054808000. Its totient is φ = 226077696.

The previous prime is 729776923. The next prime is 729776933. The reversal of 729776928 is 829677927.

729776928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (729776923) and next prime (729776933).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×729776928² = 1065148729282234368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (729776923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92898 + ... + 100446.

It is an arithmetic number, because the mean of its divisors is an integer number (21404250).

Almost surely, 2^729776928 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 729776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027404000).

729776928 is an abundant number, since it is smaller than the sum of its proper divisors (1325031072).

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

729776928 is a wasteful number, since it uses less digits than its factorization.

729776928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7626 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 57.

The square root of 729776928 is about 27014.3837242311. The cubic root of 729776928 is about 900.3196099428.

Subtracting 729776928 from its reverse (829677927), we obtain a palindrome (99900999).

The spelling of 729776928 in words is "seven hundred twenty-nine million, seven hundred seventy-six thousand, nine hundred twenty-eight".