85175328 has 144 divisors (see below), whose sum is σ = 274065120. Its totient is φ = 23030784.

The previous prime is 85175297. The next prime is 85175329. The reversal of 85175328 is 82357158.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85175329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88900 + ... + 89852.

It is an arithmetic number, because the mean of its divisors is an integer number (1903230).

Almost surely, 2^85175328 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 85175328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137032560).

85175328 is an abundant number, since it is smaller than the sum of its proper divisors (188889792).

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

85175328 is a wasteful number, since it uses less digits than its factorization.

85175328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 984 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 85175328 is about 9229.0480549188. The cubic root of 85175328 is about 439.9850683638.

The spelling of 85175328 in words is "eighty-five million, one hundred seventy-five thousand, three hundred twenty-eight".