729048528 has 120 divisors (see below), whose sum is σ = 2209858560. Its totient is φ = 223038720.

The previous prime is 729048527. The next prime is 729048539. The reversal of 729048528 is 825840927.

729048528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729048527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356533 + ... + 358571.

It is an arithmetic number, because the mean of its divisors is an integer number (18415488).

Almost surely, 2^729048528 is an apocalyptic number.

729048528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729048528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104929280).

729048528 is an abundant number, since it is smaller than the sum of its proper divisors (1480810032).

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

729048528 is a wasteful number, since it uses less digits than its factorization.

729048528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 729048528 is about 27000.8986517116. The cubic root of 729048528 is about 900.0199699273.

The spelling of 729048528 in words is "seven hundred twenty-nine million, forty-eight thousand, five hundred twenty-eight".