8728042752 has 432 divisors, whose sum is σ = 30132648000. Its totient is φ = 2394685440.

The previous prime is 8728042727. The next prime is 8728042759. The reversal of 8728042752 is 2572408278.

It is a junction number, because it is equal to n+sod(n) for n = 8728042698 and 8728042707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8728042759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19438624 + ... + 19439072.

It is an arithmetic number, because the mean of its divisors is an integer number (69751500).

Almost surely, 2^8728042752 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 8728042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066324000).

8728042752 is an abundant number, since it is smaller than the sum of its proper divisors (21404605248).

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

8728042752 is a wasteful number, since it uses less digits than its factorization.

8728042752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 8728042752 is about 93423.9945196094. The cubic root of 8728042752 is about 2058.9175473764.

The spelling of 8728042752 in words is "eight billion, seven hundred twenty-eight million, forty-two thousand, seven hundred fifty-two".