85392288 has 72 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 28358784.

The previous prime is 85392283. The next prime is 85392311. The reversal of 85392288 is 88229358.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (85392283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137643 + ... + 138261.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^85392288 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 85392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

85392288 is an abundant number, since it is smaller than the sum of its proper divisors (158342112).

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

85392288 is a wasteful number, since it uses less digits than its factorization.

85392288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1103 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85392288 is about 9240.7947710140. The cubic root of 85392288 is about 440.3583306901.

The spelling of 85392288 in words is "eighty-five million, three hundred ninety-two thousand, two hundred eighty-eight".