85115328 has 112 divisors (see below), whose sum is σ = 241950240. Its totient is φ = 26312704.

The previous prime is 85115321. The next prime is 85115333. The reversal of 85115328 is 82351158.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85115321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290350 + ... + 290642.

It is an arithmetic number, because the mean of its divisors is an integer number (2160270).

Almost surely, 2^85115328 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 85115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120975120).

85115328 is an abundant number, since it is smaller than the sum of its proper divisors (156834912).

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

85115328 is a wasteful number, since it uses less digits than its factorization.

85115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 85115328 is about 9225.7968761511. The cubic root of 85115328 is about 439.8817312985.

The spelling of 85115328 in words is "eighty-five million, one hundred fifteen thousand, three hundred twenty-eight".