47828513625984 has 1280 divisors, whose sum is σ = 183596926128000. Its totient is φ = 12272752558080.

The previous prime is 47828513625973. The next prime is 47828513626007. The reversal of 47828513625984 is 48952631582874.

47828513625984 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 8 + 513 + 6 + 25 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1710529764 + ... + 1710557724.

Almost surely, 2^{47828513625984} 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 47828513625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91798463064000).

47828513625984 is an abundant number, since it is smaller than the sum of its proper divisors (135768412502016).

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

47828513625984 is a wasteful number, since it uses less digits than its factorization.

47828513625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28058 (or 28023 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 47828513625984 in words is "forty-seven trillion, eight hundred twenty-eight billion, five hundred thirteen million, six hundred twenty-five thousand, nine hundred eighty-four".