85822128 has 90 divisors (see below), whose sum is σ = 279419244. Its totient is φ = 24518592.

The previous prime is 85822123. The next prime is 85822147. The reversal of 85822128 is 82122858.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 85822092 and 85822101.

It is not an unprimeable number, because it can be changed into a prime (85822123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 975 + ... + 13137.

Almost surely, 2^85822128 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 85822128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139709622).

85822128 is an abundant number, since it is smaller than the sum of its proper divisors (193597116).

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

85822128 is a wasteful number, since it uses less digits than its factorization.

85822128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12191 (or 12175 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 85822128 is about 9264.0233160328. The cubic root of 85822128 is about 441.0959730654.

The spelling of 85822128 in words is "eighty-five million, eight hundred twenty-two thousand, one hundred twenty-eight".