28144584 has 120 divisors (see below), whose sum is σ = 85693410. Its totient is φ = 8626176.

The previous prime is 28144583. The next prime is 28144591. The reversal of 28144584 is 48544182.

It can be written as a sum of positive squares in 3 ways, for example, as 22752900 + 5391684 = 4770^2 + 2322^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28144583) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 109384 + ... + 109640.

Almost surely, 2^28144584 is an apocalyptic number.

28144584 is a gapful number since it is divisible by the number (24) 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 28144584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42846705).

28144584 is an abundant number, since it is smaller than the sum of its proper divisors (57548826).

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

28144584 is a wasteful number, since it uses less digits than its factorization.

28144584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 28144584 is about 5305.1469348172. The cubic root of 28144584 is about 304.1806693831.

The spelling of 28144584 in words is "twenty-eight million, one hundred forty-four thousand, five hundred eighty-four".