85428 has 48 divisors (see below), whose sum is σ = 255360. Its totient is φ = 24192.

The previous prime is 85427. The next prime is 85429. The reversal of 85428 is 82458.

It is an interprime number because it is at equal distance from previous prime (85427) and next prime (85429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁸⁵⁴²⁸ 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 85428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

85428 is an abundant number, since it is smaller than the sum of its proper divisors (169932).

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

85428 is a wasteful number, since it uses less digits than its factorization.

85428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 85428 is about 292.2806870116. The cubic root of 85428 is about 44.0419709710.

The spelling of 85428 in words is "eighty-five thousand, four hundred twenty-eight".