28384960 has 56 divisors (see below), whose sum is σ = 68305680. Its totient is φ = 11234304.

The previous prime is 28384943. The next prime is 28384969. The reversal of 28384960 is 6948382.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (28384969) 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 7 ways as a sum of consecutive naturals, for example, 33826 + ... + 34654.

Almost surely, 2^28384960 is an apocalyptic number.

28384960 is a gapful number since it is divisible by the number (20) 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 28384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34152840).

28384960 is an abundant number, since it is smaller than the sum of its proper divisors (39920720).

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

28384960 is a wasteful number, since it uses less digits than its factorization.

28384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 28384960 is about 5327.7537480631. The cubic root of 28384960 is about 305.0441931842.

The spelling of 28384960 in words is "twenty-eight million, three hundred eighty-four thousand, nine hundred sixty".