28084644 has 180 divisors, whose sum is σ = 89798940. Its totient is φ = 7620480.

The previous prime is 28084619. The next prime is 28084669. The reversal of 28084644 is 44648082.

28084644 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 4 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (28084619) and next prime (28084669).

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 21734244 = 2520^2 + 4662^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 28084599 and 28084608.

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 59 ways as a sum of consecutive naturals, for example, 460374 + ... + 460434.

It is an arithmetic number, because the mean of its divisors is an integer number (498883).

Almost surely, 2^28084644 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 28084644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44899470).

28084644 is an abundant number, since it is smaller than the sum of its proper divisors (61714296).

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

28084644 is a wasteful number, since it uses less digits than its factorization.

28084644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28084644 is about 5299.4946928929. The cubic root of 28084644 is about 303.9645763202.

The spelling of 28084644 in words is "twenty-eight million, eighty-four thousand, six hundred forty-four".