85833288 has 96 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 27630720.

The previous prime is 85833287. The next prime is 85833311. The reversal of 85833288 is 88233858.

It is not an unprimeable number, because it can be changed into a prime (85833287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 316593 + ... + 316863.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^85833288 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 85833288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

85833288 is an abundant number, since it is smaller than the sum of its proper divisors (154756152).

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

85833288 is a wasteful number, since it uses less digits than its factorization.

85833288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 85833288 is about 9264.6256265431. The cubic root of 85833288 is about 441.1150917465.

The spelling of 85833288 in words is "eighty-five million, eight hundred thirty-three thousand, two hundred eighty-eight".