47282185728 has 240 divisors, whose sum is σ = 142007785920. Its totient is φ = 15705778176.

The previous prime is 47282185721. The next prime is 47282185733. The reversal of 47282185728 is 82758128274.

47282185728 is a `hidden beast` number, since 47 + 2 + 8 + 21 + 8 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47282185721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52129851 + ... + 52130757.

It is an arithmetic number, because the mean of its divisors is an integer number (591699108).

Almost surely, 2^47282185728 is an apocalyptic number.

47282185728 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 47282185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71003892960).

47282185728 is an abundant number, since it is smaller than the sum of its proper divisors (94725600192).

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

47282185728 is an frugal number, since it uses more digits than its factorization.

47282185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1331 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The spelling of 47282185728 in words is "forty-seven billion, two hundred eighty-two million, one hundred eighty-five thousand, seven hundred twenty-eight".