28279584 has 96 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 9273600.

The previous prime is 28279583. The next prime is 28279607. The reversal of 28279584 is 48597282.

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

It is not an unprimeable number, because it can be changed into a prime (28279583) 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 15 ways as a sum of consecutive naturals, for example, 61114 + ... + 61574.

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

Almost surely, 2^28279584 is an apocalyptic number.

28279584 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 28279584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912640).

28279584 is an abundant number, since it is smaller than the sum of its proper divisors (55545696).

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

28279584 is a wasteful number, since it uses less digits than its factorization.

28279584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 28279584 is about 5317.8552067539. The cubic root of 28279584 is about 304.6662442450. Note that the first 3 decimals are identical.

The spelling of 28279584 in words is "twenty-eight million, two hundred seventy-nine thousand, five hundred eighty-four".