85988528 has 40 divisors (see below), whose sum is σ = 178284720. Its totient is φ = 40055040.

The previous prime is 85988527. The next prime is 85988543. The reversal of 85988528 is 82588958.

It is a happy number.

It is a Cunningham number, because it is equal to 9273²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 85988528.

It is not an unprimeable number, because it can be changed into a prime (85988527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16226 + ... + 20862.

It is an arithmetic number, because the mean of its divisors is an integer number (4457118).

Almost surely, 2^85988528 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 85988528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89142360).

85988528 is an abundant number, since it is smaller than the sum of its proper divisors (92296192).

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

85988528 is a wasteful number, since it uses less digits than its factorization.

85988528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4719 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 53.

The square root of 85988528 is about 9272.9999460800. Note that the first 4 decimals coincide. The cubic root of 85988528 is about 441.3808684470.

The spelling of 85988528 in words is "eighty-five million, nine hundred eighty-eight thousand, five hundred twenty-eight".