871532928 has 384 divisors, whose sum is σ = 3095838720. Its totient is φ = 229920768.

The previous prime is 871532923. The next prime is 871532929. The reversal of 871532928 is 829235178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871532923) 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 47 ways as a sum of consecutive naturals, for example, 6862401 + ... + 6862527.

It is an arithmetic number, because the mean of its divisors is an integer number (8062080).

Almost surely, 2^871532928 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 871532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547919360).

871532928 is an abundant number, since it is smaller than the sum of its proper divisors (2224305792).

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

871532928 is a wasteful number, since it uses less digits than its factorization.

871532928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 871532928 is about 29521.7365342894. The cubic root of 871532928 is about 955.2006296133.

The spelling of 871532928 in words is "eight hundred seventy-one million, five hundred thirty-two thousand, nine hundred twenty-eight".