85278128 has 40 divisors (see below), whose sum is σ = 180978000. Its totient is φ = 38686464.

The previous prime is 85278119. The next prime is 85278139. The reversal of 85278128 is 82187258.

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 7 ways as a sum of consecutive naturals, for example, 8798 + ... + 15746.

It is an arithmetic number, because the mean of its divisors is an integer number (4524450).

Almost surely, 2^85278128 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 85278128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90489000).

85278128 is an abundant number, since it is smaller than the sum of its proper divisors (95699872).

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

85278128 is a wasteful number, since it uses less digits than its factorization.

85278128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7023 counting only the distinct ones).

The product of its digits is 71680, while the sum is 41.

The square root of 85278128 is about 9234.6157472848. The cubic root of 85278128 is about 440.1620064582.

The spelling of 85278128 in words is "eighty-five million, two hundred seventy-eight thousand, one hundred twenty-eight".