28048000 has 64 divisors (see below), whose sum is σ = 69774120. Its totient is φ = 11212800.

The previous prime is 28047991. The next prime is 28048001. The reversal of 28048000 is 84082.

It can be written as a sum of positive squares in 4 ways, for example, as 1915456 + 26132544 = 1384^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28048001) 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 7 ways as a sum of consecutive naturals, for example, 15124 + ... + 16876.

Almost surely, 2^28048000 is an apocalyptic number.

28048000 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 28048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34887060).

28048000 is an abundant number, since it is smaller than the sum of its proper divisors (41726120).

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

28048000 is an equidigital number, since it uses as much as digits as its factorization.

28048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 28048000 is about 5296.0362536523. The cubic root of 28048000 is about 303.8323174978.

The spelling of 28048000 in words is "twenty-eight million, forty-eight thousand".