28944864 has 120 divisors (see below), whose sum is σ = 91780920. Its totient is φ = 8895744.

The previous prime is 28944859. The next prime is 28944901. The reversal of 28944864 is 46844982.

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33267 + ... + 34125.

It is an arithmetic number, because the mean of its divisors is an integer number (764841).

Almost surely, 2^28944864 is an apocalyptic number.

28944864 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 28944864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45890460).

28944864 is an abundant number, since it is smaller than the sum of its proper divisors (62836056).

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

28944864 is a wasteful number, since it uses less digits than its factorization.

28944864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 877 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 28944864 is about 5380.0431225038. The cubic root of 28944864 is about 307.0368518470.

The spelling of 28944864 in words is "twenty-eight million, nine hundred forty-four thousand, eight hundred sixty-four".