28409184 has 96 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 9360000.

The previous prime is 28409177. The next prime is 28409189. The reversal of 28409184 is 48190482.

It is a tau number, because it is divible by the number of its divisors (96).

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 (28409189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113059 + ... + 113309.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^28409184 is an apocalyptic number.

28409184 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 28409184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912640).

28409184 is an abundant number, since it is smaller than the sum of its proper divisors (55416096).

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

28409184 is a wasteful number, since it uses less digits than its factorization.

28409184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 28409184 is about 5330.0266415844. The cubic root of 28409184 is about 305.1309444012.

The spelling of 28409184 in words is "twenty-eight million, four hundred nine thousand, one hundred eighty-four".