85113288 has 128 divisors (see below), whose sum is σ = 269740800. Its totient is φ = 24634368.

The previous prime is 85113233. The next prime is 85113313. The reversal of 85113288 is 88231158.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46845 + ... + 48627.

It is an arithmetic number, because the mean of its divisors is an integer number (2107350).

Almost surely, 2^85113288 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 85113288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134870400).

85113288 is an abundant number, since it is smaller than the sum of its proper divisors (184627512).

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

85113288 is a wasteful number, since it uses less digits than its factorization.

85113288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1818 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 85113288 is about 9225.6863159334. The cubic root of 85113288 is about 439.8782169848.

The spelling of 85113288 in words is "eighty-five million, one hundred thirteen thousand, two hundred eighty-eight".