728787306 has 64 divisors (see below), whose sum is σ = 1617960960. Its totient is φ = 217425600.

The previous prime is 728787299. The next prime is 728787307. The reversal of 728787306 is 603787827.

728787306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728787306² = 1062261874773475272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728787307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505735 + ... + 507173.

It is an arithmetic number, because the mean of its divisors is an integer number (25280640).

Almost surely, 2^728787306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728787306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808980480).

728787306 is an abundant number, since it is smaller than the sum of its proper divisors (889173654).

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

728787306 is a wasteful number, since it uses less digits than its factorization.

728787306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651.

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 728787306 is about 26996.0609348846. The cubic root of 728787306 is about 899.9124630911.

The spelling of 728787306 in words is "seven hundred twenty-eight million, seven hundred eighty-seven thousand, three hundred six".