85325328 has 180 divisors, whose sum is σ = 270138960. Its totient is φ = 25111680.

The previous prime is 85325321. The next prime is 85325413. The reversal of 85325328 is 82352358.

85325328 is a `hidden beast` number, since 8 + 5 + 325 + 328 = 666.

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 = 85325292 and 85325301.

It is not an unprimeable number, because it can be changed into a prime (85325321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1027975 + ... + 1028057.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^85325328 is an apocalyptic number.

85325328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85325328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480).

85325328 is an abundant number, since it is smaller than the sum of its proper divisors (184813632).

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

85325328 is a wasteful number, since it uses less digits than its factorization.

85325328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85325328 is about 9237.1709954942. The cubic root of 85325328 is about 440.2431988865.

The spelling of 85325328 in words is "eighty-five million, three hundred twenty-five thousand, three hundred twenty-eight".