85932288 has 216 divisors, whose sum is σ = 282726080. Its totient is φ = 24883200.

The previous prime is 85932283. The next prime is 85932299. The reversal of 85932288 is 88223958.

It is not an unprimeable number, because it can be changed into a prime (85932283) 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 23 ways as a sum of consecutive naturals, for example, 569013 + ... + 569163.

Almost surely, 2^85932288 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 85932288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141363040).

85932288 is an abundant number, since it is smaller than the sum of its proper divisors (196793792).

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

85932288 is a wasteful number, since it uses less digits than its factorization.

85932288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85932288 is about 9269.9669902325. The cubic root of 85932288 is about 441.2846204382.

The spelling of 85932288 in words is "eighty-five million, nine hundred thirty-two thousand, two hundred eighty-eight".