47828864 has 32 divisors (see below), whose sum is σ = 97869000. Its totient is φ = 23265792.

The previous prime is 47828861. The next prime is 47828887. The reversal of 47828864 is 46882874.

It is a happy number.

47828864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47828861) 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 3 ways as a sum of consecutive naturals, for example, 314 + ... + 9785.

Almost surely, 2^47828864 is an apocalyptic number.

It is an amenable number.

47828864 is an abundant number, since it is smaller than the sum of its proper divisors (50040136).

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

47828864 is a wasteful number, since it uses less digits than its factorization.

47828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150 (or 10138 counting only the distinct ones).

The product of its digits is 688128, while the sum is 47.

The square root of 47828864 is about 6915.8415250785. The cubic root of 47828864 is about 362.9916948723.

The spelling of 47828864 in words is "forty-seven million, eight hundred twenty-eight thousand, eight hundred sixty-four".