47828428056 has 96 divisors (see below), whose sum is σ = 135363402720. Its totient is φ = 15227520000.

The previous prime is 47828428019. The next prime is 47828428061. The reversal of 47828428056 is 65082482874.

47828428056 is a `hidden beast` number, since 478 + 2 + 8 + 42 + 80 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47828427993 and 47828428011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140256 + ... + 1181456.

It is an arithmetic number, because the mean of its divisors is an integer number (1410035445).

Almost surely, 2^47828428056 is an apocalyptic number.

47828428056 is a gapful number since it is divisible by the number (46) 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 47828428056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67681701360).

47828428056 is an abundant number, since it is smaller than the sum of its proper divisors (87534974664).

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

47828428056 is a wasteful number, since it uses less digits than its factorization.

47828428056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41937 (or 41930 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 47828428056 in words is "forty-seven billion, eight hundred twenty-eight million, four hundred twenty-eight thousand, fifty-six".