47728893472 has 96 divisors (see below), whose sum is σ = 102107340720. Its totient is φ = 21960806400.

The previous prime is 47728893451. The next prime is 47728893479. The reversal of 47728893472 is 27439882774.

It can be written as a sum of positive squares in 8 ways, for example, as 380874256 + 47348019216 = 19516^2 + 217596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47728893472.

It is not an unprimeable number, because it can be changed into a prime (47728893479) 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, 28191058 + ... + 28192750.

Almost surely, 2^47728893472 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 47728893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51053670360).

47728893472 is an abundant number, since it is smaller than the sum of its proper divisors (54378447248).

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

47728893472 is a wasteful number, since it uses less digits than its factorization.

47728893472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2109 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 61.

The spelling of 47728893472 in words is "forty-seven billion, seven hundred twenty-eight million, eight hundred ninety-three thousand, four hundred seventy-two".