85128 has 16 divisors (see below), whose sum is σ = 212880. Its totient is φ = 28368.

The previous prime is 85121. The next prime is 85133. The reversal of 85128 is 82158.

It is a hoax number, since the sum of its digits (24) 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 (24), and also a Moran number because the ratio is a prime number: 3547 = 85128 / (8 + 5 + 1 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 85098 and 85107.

It is not an unprimeable number, because it can be changed into a prime (85121) by changing a digit.

85128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1750 + ... + 1797.

It is an arithmetic number, because the mean of its divisors is an integer number (13305).

2⁸⁵¹²⁸ is an apocalyptic number.

It is an amenable number.

85128 is an abundant number, since it is smaller than the sum of its proper divisors (127752).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106440).

85128 is a wasteful number, since it uses less digits than its factorization.

85128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3552 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 85128 is about 291.7670303513. The cubic root of 85128 is about 43.9903560131.

The spelling of 85128 in words is "eighty-five thousand, one hundred twenty-eight".