28884768 has 96 divisors (see below), whose sum is σ = 87635520. Its totient is φ = 8232960.

The previous prime is 28884763. The next prime is 28884799. The reversal of 28884768 is 86748882.

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 (51).

It is a self number, because there is not a number n which added to its sum of digits gives 28884768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28884763) 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, 17148 + ... + 18756.

It is an arithmetic number, because the mean of its divisors is an integer number (912870).

Almost surely, 2^28884768 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 28884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43817760).

28884768 is an abundant number, since it is smaller than the sum of its proper divisors (58750752).

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

28884768 is a wasteful number, since it uses less digits than its factorization.

28884768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1642 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 28884768 is about 5374.4551351742. The cubic root of 28884768 is about 306.8242122651.

The spelling of 28884768 in words is "twenty-eight million, eight hundred eighty-four thousand, seven hundred sixty-eight".