729566028 has 120 divisors (see below), whose sum is σ = 2072913920. Its totient is φ = 222899040.

The previous prime is 729566023. The next prime is 729566029. The reversal of 729566028 is 820665927.

It is not an unprimeable number, because it can be changed into a prime (729566023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188925 + ... + 192747.

Almost surely, 2^729566028 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 729566028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036456960).

729566028 is an abundant number, since it is smaller than the sum of its proper divisors (1343347892).

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

729566028 is a wasteful number, since it uses less digits than its factorization.

729566028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 729566028 is about 27010.4799661169. The cubic root of 729566028 is about 900.2328730727.

The spelling of 729566028 in words is "seven hundred twenty-nine million, five hundred sixty-six thousand, twenty-eight".