47728007216 has 80 divisors (see below), whose sum is σ = 96730951680. Its totient is φ = 22786874880.

The previous prime is 47728007213. The next prime is 47728007219. The reversal of 47728007216 is 61270082774.

It is an interprime number because it is at equal distance from previous prime (47728007213) and next prime (47728007219).

It is a super-3 number, since 3×47728007216³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47728007213) 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 15 ways as a sum of consecutive naturals, for example, 30149561 + ... + 30151143.

It is an arithmetic number, because the mean of its divisors is an integer number (1209136896).

Almost surely, 2^47728007216 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 47728007216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48365475840).

47728007216 is an abundant number, since it is smaller than the sum of its proper divisors (49002944464).

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

47728007216 is a wasteful number, since it uses less digits than its factorization.

47728007216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 47728007216 in words is "forty-seven billion, seven hundred twenty-eight million, seven thousand, two hundred sixteen".