47768256 has 84 divisors (see below), whose sum is σ = 138208512. Its totient is φ = 15773184.

The previous prime is 47768209. The next prime is 47768257. The reversal of 47768256 is 65286774.

It is not an unprimeable number, because it can be changed into a prime (47768257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72826 + ... + 73478.

Almost surely, 2^47768256 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 47768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69104256).

47768256 is an abundant number, since it is smaller than the sum of its proper divisors (90440256).

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

47768256 is a wasteful number, since it uses less digits than its factorization.

47768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 47768256 is about 6911.4583121075. The cubic root of 47768256 is about 362.8383042338.

The spelling of 47768256 in words is "forty-seven million, seven hundred sixty-eight thousand, two hundred fifty-six".