8729749728 has 576 divisors, whose sum is σ = 32405667840. Its totient is φ = 2254044672.

The previous prime is 8729749703. The next prime is 8729749733. The reversal of 8729749728 is 8279479278.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (28449792) is a multiple of the sum of its prime factors (441).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23786601 + ... + 23786967.

It is an arithmetic number, because the mean of its divisors is an integer number (56259840).

Almost surely, 2^8729749728 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 8729749728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202833920).

8729749728 is an abundant number, since it is smaller than the sum of its proper divisors (23675918112).

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

8729749728 is a wasteful number, since it uses less digits than its factorization.

8729749728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The square root of 8729749728 is about 93433.1297131804. The cubic root of 8729749728 is about 2059.0517620317.

The spelling of 8729749728 in words is "eight billion, seven hundred twenty-nine million, seven hundred forty-nine thousand, seven hundred twenty-eight".