47563728 has 40 divisors (see below), whose sum is σ = 124102176. Its totient is φ = 15696000.

The previous prime is 47563727. The next prime is 47563757. The reversal of 47563728 is 82736574.

47563728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47563728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47563721) 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 7 ways as a sum of consecutive naturals, for example, 58 + ... + 9753.

Almost surely, 2^47563728 is an apocalyptic number.

47563728 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 47563728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62051088).

47563728 is an abundant number, since it is smaller than the sum of its proper divisors (76538448).

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

47563728 is a wasteful number, since it uses less digits than its factorization.

47563728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9917 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 47563728 is about 6896.6461414227. The cubic root of 47563728 is about 362.3197118553.

The spelling of 47563728 in words is "forty-seven million, five hundred sixty-three thousand, seven hundred twenty-eight".