47723171328 has 480 divisors, whose sum is σ = 167935680000. Its totient is φ = 13336178688.

The previous prime is 47723171323. The next prime is 47723171357. The reversal of 47723171328 is 82317132774.

47723171328 is a `hidden beast` number, since 4 + 7 + 7 + 2 + 317 + 1 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47723171323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31835923 + ... + 31837421.

It is an arithmetic number, because the mean of its divisors is an integer number (349866000).

Almost surely, 2^47723171328 is an apocalyptic number.

47723171328 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 47723171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840000).

47723171328 is an abundant number, since it is smaller than the sum of its proper divisors (120212508672).

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

47723171328 is a wasteful number, since it uses less digits than its factorization.

47723171328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1558 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 47723171328 in words is "forty-seven billion, seven hundred twenty-three million, one hundred seventy-one thousand, three hundred twenty-eight".