47938687945728 has 176 divisors, whose sum is σ = 129591270579456. Its totient is φ = 15752364113920.

The previous prime is 47938687945721. The next prime is 47938687945747. The reversal of 47938687945728 is 82754978683974.

47938687945728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6923777²-1.

It is not an unprimeable number, because it can be changed into a prime (47938687945721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2949520450 + ... + 2949536702.

Almost surely, 2^{47938687945728} is an apocalyptic number.

47938687945728 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 47938687945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64795635289728).

47938687945728 is an abundant number, since it is smaller than the sum of its proper divisors (81652582633728).

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

47938687945728 is a wasteful number, since it uses less digits than its factorization.

47938687945728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29870 (or 29852 counting only the distinct ones).

The product of its digits is 40967700480, while the sum is 87.

The spelling of 47938687945728 in words is "forty-seven trillion, nine hundred thirty-eight billion, six hundred eighty-seven million, nine hundred forty-five thousand, seven hundred twenty-eight".