47775904928 has 96 divisors (see below), whose sum is σ = 99752083200. Its totient is φ = 22461705216.

The previous prime is 47775904927. The next prime is 47775904931. The reversal of 47775904928 is 82940957774.

47775904928 is digitally balanced in base 2, 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 218577²-1.

It is not an unprimeable number, because it can be changed into a prime (47775904927) 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, 66447353 + ... + 66448071.

It is an arithmetic number, because the mean of its divisors is an integer number (1039084200).

Almost surely, 2^47775904928 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 47775904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49876041600).

47775904928 is an abundant number, since it is smaller than the sum of its proper divisors (51976178272).

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

47775904928 is a wasteful number, since it uses less digits than its factorization.

47775904928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 62.

The spelling of 47775904928 in words is "forty-seven billion, seven hundred seventy-five million, nine hundred four thousand, nine hundred twenty-eight".