85859328 has 88 divisors (see below), whose sum is σ = 241054720. Its totient is φ = 27095040.

The previous prime is 85859317. The next prime is 85859329. The reversal of 85859328 is 82395858.

It is a super-2 number, since 2×85859328² = 14743648409223168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85859329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57633 + ... + 59103.

Almost surely, 2^85859328 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 85859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120527360).

85859328 is an abundant number, since it is smaller than the sum of its proper divisors (155195392).

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

85859328 is a wasteful number, since it uses less digits than its factorization.

85859328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1495 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 85859328 is about 9266.0308654785. The cubic root of 85859328 is about 441.1596955588.

The spelling of 85859328 in words is "eighty-five million, eight hundred fifty-nine thousand, three hundred twenty-eight".