8728480728 has 128 divisors (see below), whose sum is σ = 26883993600. Its totient is φ = 2601590400.

The previous prime is 8728480727. The next prime is 8728480741. The reversal of 8728480728 is 8270848278.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8728480721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114825 + ... + 175047.

It is an arithmetic number, because the mean of its divisors is an integer number (210031200).

Almost surely, 2^8728480728 is an apocalyptic number.

8728480728 is a gapful number since it is divisible by the number (88) 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 8728480728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441996800).

8728480728 is an abundant number, since it is smaller than the sum of its proper divisors (18155512872).

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

8728480728 is a wasteful number, since it uses less digits than its factorization.

8728480728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60310 (or 60300 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 8728480728 is about 93426.3385132908. The cubic root of 8728480728 is about 2058.9519858492.

The spelling of 8728480728 in words is "eight billion, seven hundred twenty-eight million, four hundred eighty thousand, seven hundred twenty-eight".