47959507728 has 200 divisors, whose sum is σ = 152684665056. Its totient is φ = 14532661440.

The previous prime is 47959507703. The next prime is 47959507753. The reversal of 47959507728 is 82770595974.

47959507728 is a `hidden beast` number, since 4 + 7 + 9 + 59 + 507 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (47959507703) and next prime (47959507753).

It is a super-2 number, since 2×47959507728² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1711075 + ... + 1738877.

Almost surely, 2^47959507728 is an apocalyptic number.

47959507728 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 47959507728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76342332528).

47959507728 is an abundant number, since it is smaller than the sum of its proper divisors (104725157328).

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

47959507728 is a wasteful number, since it uses less digits than its factorization.

47959507728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27856 (or 27819 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 47959507728 in words is "forty-seven billion, nine hundred fifty-nine million, five hundred seven thousand, seven hundred twenty-eight".