28384000 has 72 divisors (see below), whose sum is σ = 70787808. Its totient is φ = 11340800.

The previous prime is 28383977. The next prime is 28384007. The reversal of 28384000 is 48382.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28384007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31557 + ... + 32443.

It is an arithmetic number, because the mean of its divisors is an integer number (983164).

Almost surely, 2^28384000 is an apocalyptic number.

28384000 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 28384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35393904).

28384000 is an abundant number, since it is smaller than the sum of its proper divisors (42403808).

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

28384000 is an frugal number, since it uses more digits than its factorization.

28384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 28384000 is about 5327.6636530472. The cubic root of 28384000 is about 305.0407542066.

The spelling of 28384000 in words is "twenty-eight million, three hundred eighty-four thousand".