85544928 has 72 divisors (see below), whose sum is σ = 278027568. Its totient is φ = 24440832.

The previous prime is 85544917. The next prime is 85544947. The reversal of 85544928 is 82944558.

85544928 is a `hidden beast` number, since 8 + 554 + 4 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19201 + ... + 23232.

It is an arithmetic number, because the mean of its divisors is an integer number (3861494).

Almost surely, 2^85544928 is an apocalyptic number.

It is an amenable number.

85544928 is an abundant number, since it is smaller than the sum of its proper divisors (192482640).

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

85544928 is a wasteful number, since it uses less digits than its factorization.

85544928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42456 (or 42445 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85544928 is about 9249.0501133900. The cubic root of 85544928 is about 440.6205568890.

The spelling of 85544928 in words is "eighty-five million, five hundred forty-four thousand, nine hundred twenty-eight".