5585328 has 80 divisors (see below), whose sum is σ = 18332160. Its totient is φ = 1594944.

The previous prime is 5585317. The next prime is 5585347. The reversal of 5585328 is 8235855.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5585292 and 5585301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 3947.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 2^5585328 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 5585328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166080).

5585328 is an abundant number, since it is smaller than the sum of its proper divisors (12746832).

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

5585328 is a wasteful number, since it uses less digits than its factorization.

5585328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1859 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 5585328 is about 2363.3298542523. The cubic root of 5585328 is about 177.4255774759.

It can be divided in two parts, 558 and 5328, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5585328 in words is "five million, five hundred eighty-five thousand, three hundred twenty-eight".