871884288 has 240 divisors, whose sum is σ = 2788321536. Its totient is φ = 260075520.

The previous prime is 871884281. The next prime is 871884289. The reversal of 871884288 is 882488178.

It is a super-2 number, since 2×871884288² = 1520364423322533888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871884281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5220781 + ... + 5220947.

Almost surely, 2^871884288 is an apocalyptic number.

871884288 is a gapful number since it is divisible by the number (88) 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 871884288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394160768).

871884288 is an abundant number, since it is smaller than the sum of its proper divisors (1916437248).

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

871884288 is a wasteful number, since it uses less digits than its factorization.

871884288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 54.

The square root of 871884288 is about 29527.6868040827. The cubic root of 871884288 is about 955.3289759598.

The spelling of 871884288 in words is "eight hundred seventy-one million, eight hundred eighty-four thousand, two hundred eighty-eight".