729028560 has 80 divisors (see below), whose sum is σ = 2433844224. Its totient is φ = 179452416.

The previous prime is 729028513. The next prime is 729028567. The reversal of 729028560 is 65820927.

It is a happy number.

729028560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729028567) 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, 113712 + ... + 119951.

Almost surely, 2^729028560 is an apocalyptic number.

It is an amenable number.

729028560 is an abundant number, since it is smaller than the sum of its proper divisors (1704815664).

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

729028560 is a wasteful number, since it uses less digits than its factorization.

729028560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233692 (or 233686 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 729028560 is about 27000.5288837089. The cubic root of 729028560 is about 900.0117529329.

The spelling of 729028560 in words is "seven hundred twenty-nine million, twenty-eight thousand, five hundred sixty".