8248728720 has 40 divisors (see below), whose sum is σ = 25571059776. Its totient is φ = 2199660928.

The previous prime is 8248728637. The next prime is 8248728727. The reversal of 8248728720 is 278278428.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8248728720.

It is not an unprimeable number, because it can be changed into a prime (8248728727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17184612 + ... + 17185091.

Almost surely, 2^8248728720 is an apocalyptic number.

8248728720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8248728720 is an abundant number, since it is smaller than the sum of its proper divisors (17322331056).

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

8248728720 is a wasteful number, since it uses less digits than its factorization.

8248728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34369719 (or 34369713 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 8248728720 is about 90822.5121872325. The cubic root of 8248728720 is about 2020.5162161389.

The spelling of 8248728720 in words is "eight billion, two hundred forty-eight million, seven hundred twenty-eight thousand, seven hundred twenty".