8728735344 has 320 divisors, whose sum is σ = 27481574400. Its totient is φ = 2384363520.

The previous prime is 8728735333. The next prime is 8728735361. The reversal of 8728735344 is 4435378278.

It is a super-3 number, since 3×8728735344³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45226512 + ... + 45226704.

It is an arithmetic number, because the mean of its divisors is an integer number (85879920).

Almost surely, 2^8728735344 is an apocalyptic number.

8728735344 is a gapful number since it is divisible by the number (84) 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 8728735344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740787200).

8728735344 is an abundant number, since it is smaller than the sum of its proper divisors (18752839056).

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

8728735344 is a wasteful number, since it uses less digits than its factorization.

8728735344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The square root of 8728735344 is about 93427.7011597738. The cubic root of 8728735344 is about 2058.9720060199.

The spelling of 8728735344 in words is "eight billion, seven hundred twenty-eight million, seven hundred thirty-five thousand, three hundred forty-four".