47871577728 has 192 divisors, whose sum is σ = 148521653280. Its totient is φ = 14712883200.

The previous prime is 47871577723. The next prime is 47871577757. The reversal of 47871577728 is 82777517874.

47871577728 is a `hidden beast` number, since 478 + 7 + 157 + 7 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (47871577723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21729075 + ... + 21731277.

Almost surely, 2^47871577728 is an apocalyptic number.

47871577728 is a gapful number since it is divisible by the number (48) 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 47871577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74260826640).

47871577728 is an abundant number, since it is smaller than the sum of its proper divisors (100650075552).

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

47871577728 is a wasteful number, since it uses less digits than its factorization.

47871577728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3672 counting only the distinct ones).

The product of its digits is 43025920, while the sum is 63.

The spelling of 47871577728 in words is "forty-seven billion, eight hundred seventy-one million, five hundred seventy-seven thousand, seven hundred twenty-eight".