85152288 has 144 divisors (see below), whose sum is σ = 252237888. Its totient is φ = 24998400.

The previous prime is 85152271. The next prime is 85152307. The reversal of 85152288 is 88225158.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199293 + ... + 1199363.

It is an arithmetic number, because the mean of its divisors is an integer number (1751652).

Almost surely, 2^85152288 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 85152288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126118944).

85152288 is an abundant number, since it is smaller than the sum of its proper divisors (167085600).

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

85152288 is a wasteful number, since it uses less digits than its factorization.

85152288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its digits is 51200, while the sum is 39.

The square root of 85152288 is about 9227.7997377490. The cubic root of 85152288 is about 439.9453926721.

The spelling of 85152288 in words is "eighty-five million, one hundred fifty-two thousand, two hundred eighty-eight".