28183824 has 120 divisors (see below), whose sum is σ = 86612760. Its totient is φ = 8515584.

The previous prime is 28183823. The next prime is 28183829. The reversal of 28183824 is 42838182.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 18147600 = 3168^2 + 4260^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (28183823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70794 + ... + 71190.

It is an arithmetic number, because the mean of its divisors is an integer number (721773).

Almost surely, 2^28183824 is an apocalyptic number.

28183824 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 28183824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43306380).

28183824 is an abundant number, since it is smaller than the sum of its proper divisors (58428936).

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

28183824 is a wasteful number, since it uses less digits than its factorization.

28183824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 28183824 is about 5308.8439419520. The cubic root of 28183824 is about 304.3219695892.

The spelling of 28183824 in words is "twenty-eight million, one hundred eighty-three thousand, eight hundred twenty-four".