729666828 has 144 divisors (see below), whose sum is σ = 2090664576. Its totient is φ = 212647680.

The previous prime is 729666827. The next prime is 729666841. The reversal of 729666828 is 828666927.

It is not an unprimeable number, because it can be changed into a prime (729666827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242751 + ... + 1243337.

It is an arithmetic number, because the mean of its divisors is an integer number (14518504).

Almost surely, 2^729666828 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 729666828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045332288).

729666828 is an abundant number, since it is smaller than the sum of its proper divisors (1360997748).

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

729666828 is a wasteful number, since it uses less digits than its factorization.

729666828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 729666828 is about 27012.3458440766. The cubic root of 729666828 is about 900.2743311868.

Subtracting 729666828 from its reverse (828666927), we obtain a palindrome (99000099).

The spelling of 729666828 in words is "seven hundred twenty-nine million, six hundred sixty-six thousand, eight hundred twenty-eight".