85328032 has 48 divisors (see below), whose sum is σ = 179748072. Its totient is φ = 39731200.

The previous prime is 85327969. The next prime is 85328041. The reversal of 85328032 is 23082358.

It can be written as a sum of positive squares in 4 ways, for example, as 82519056 + 2808976 = 9084^2 + 1676^2 .

It is a super-4 number, since 4×85328032⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85327985 and 85328003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54168 + ... + 55720.

Almost surely, 2^85328032 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 85328032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89874036).

85328032 is an abundant number, since it is smaller than the sum of its proper divisors (94420040).

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

85328032 is a wasteful number, since it uses less digits than its factorization.

85328032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 85328032 is about 9237.3173594935. The cubic root of 85328032 is about 440.2478493425.

The spelling of 85328032 in words is "eighty-five million, three hundred twenty-eight thousand, thirty-two".