28584864 has 144 divisors (see below), whose sum is σ = 101424960. Its totient is φ = 7418880.

The previous prime is 28584863. The next prime is 28584877. The reversal of 28584864 is 46848582.

28584864 is a `hidden beast` number, since 2 + 8 + 584 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28584863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21532 + ... + 22820.

It is an arithmetic number, because the mean of its divisors is an integer number (704340).

Almost surely, 2^28584864 is an apocalyptic number.

28584864 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 28584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50712480).

28584864 is an abundant number, since it is smaller than the sum of its proper divisors (72840096).

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

28584864 is a wasteful number, since it uses less digits than its factorization.

28584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 28584864 is about 5346.4814598014. The cubic root of 28584864 is about 305.7586203582.

The spelling of 28584864 in words is "twenty-eight million, five hundred eighty-four thousand, eight hundred sixty-four".