47588768 has 48 divisors (see below), whose sum is σ = 102060000. Its totient is φ = 21756672.

The previous prime is 47588759. The next prime is 47588777. The reversal of 47588768 is 86788574.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47588759) and next prime (47588777).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16283 + ... + 18981.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 2^47588768 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 47588768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51030000).

47588768 is an abundant number, since it is smaller than the sum of its proper divisors (54471232).

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

47588768 is a wasteful number, since it uses less digits than its factorization.

47588768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2749 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 53.

The square root of 47588768 is about 6898.4612777053. The cubic root of 47588768 is about 362.3832819633.

The spelling of 47588768 in words is "forty-seven million, five hundred eighty-eight thousand, seven hundred sixty-eight".