28584072 has 144 divisors (see below), whose sum is σ = 90565020. Its totient is φ = 8110080.

The previous prime is 28584071. The next prime is 28584079. The reversal of 28584072 is 27048582.

It is a happy number.

28584072 is a `hidden beast` number, since 2 + 8 + 584 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28579716 + 4356 = 5346^2 + 66^2 .

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

It is not an unprimeable number, because it can be changed into a prime (28584071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148008 + ... + 148200.

Almost surely, 2^28584072 is an apocalyptic number.

28584072 is a gapful number since it is divisible by the number (22) 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 28584072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45282510).

28584072 is an abundant number, since it is smaller than the sum of its proper divisors (61980948).

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

28584072 is a wasteful number, since it uses less digits than its factorization.

28584072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28584072 is about 5346.4073918848. The cubic root of 28584072 is about 305.7557964504.

The spelling of 28584072 in words is "twenty-eight million, five hundred eighty-four thousand, seventy-two".