85684928 has 84 divisors (see below), whose sum is σ = 200665080. Its totient is φ = 36191232.

The previous prime is 85684919. The next prime is 85684943. The reversal of 85684928 is 82948658.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278951 + ... + 279257.

It is an arithmetic number, because the mean of its divisors is an integer number (2388870).

Almost surely, 2^85684928 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 85684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100332540).

85684928 is an abundant number, since it is smaller than the sum of its proper divisors (114980152).

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

85684928 is a wasteful number, since it uses less digits than its factorization.

85684928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 50.

The square root of 85684928 is about 9256.6153641598. The cubic root of 85684928 is about 440.8607942254.

The spelling of 85684928 in words is "eighty-five million, six hundred eighty-four thousand, nine hundred twenty-eight".