47888512 has 128 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 18579456.

The previous prime is 47888479. The next prime is 47888513. The reversal of 47888512 is 21588874.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (47888513) 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 15 ways as a sum of consecutive naturals, for example, 493648 + ... + 493744.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 2^47888512 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 47888512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976000).

47888512 is an abundant number, since it is smaller than the sum of its proper divisors (72063488).

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

47888512 is a wasteful number, since it uses less digits than its factorization.

47888512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 143360, while the sum is 43.

The square root of 47888512 is about 6920.1525994735. The cubic root of 47888512 is about 363.1425294125.

It can be divided in two parts, 47888 and 512, that added together give a square (48400 = 220²).

The spelling of 47888512 in words is "forty-seven million, eight hundred eighty-eight thousand, five hundred twelve".