8728040328 has 144 divisors (see below), whose sum is σ = 26231167440. Its totient is φ = 2412970560.

The previous prime is 8728040273. The next prime is 8728040339. The reversal of 8728040328 is 8230408278.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8728040328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1126275 + ... + 1133997.

It is an arithmetic number, because the mean of its divisors is an integer number (182160885).

Almost surely, 2^8728040328 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 8728040328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115583720).

8728040328 is an abundant number, since it is smaller than the sum of its proper divisors (17503127112).

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

8728040328 is a wasteful number, since it uses less digits than its factorization.

8728040328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 8728040328 is about 93423.9815464959. The cubic root of 8728040328 is about 2058.9173567718.

The spelling of 8728040328 in words is "eight billion, seven hundred twenty-eight million, forty thousand, three hundred twenty-eight".