28848864 has 96 divisors (see below), whose sum is σ = 87526656. Its totient is φ = 8222720.

The previous prime is 28848811. The next prime is 28848901. The reversal of 28848864 is 46884882.

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 (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17149 + ... + 18755.

It is an arithmetic number, because the mean of its divisors is an integer number (911736).

Almost surely, 2^28848864 is an apocalyptic number.

28848864 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 28848864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43763328).

28848864 is an abundant number, since it is smaller than the sum of its proper divisors (58677792).

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

28848864 is a wasteful number, since it uses less digits than its factorization.

28848864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1640 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 28848864 is about 5371.1138509624. The cubic root of 28848864 is about 306.6970312299.

The spelling of 28848864 in words is "twenty-eight million, eight hundred forty-eight thousand, eight hundred sixty-four".