28048800 has 288 divisors, whose sum is σ = 104993280. Its totient is φ = 6451200.

The previous prime is 28048751. The next prime is 28048817. The reversal of 28048800 is 884082.

28048800 is a nontrivial binomial coefficient, being equal to C(32, 9).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904785 + ... + 904815.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^28048800 is an apocalyptic number.

28048800 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 28048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

28048800 is an abundant number, since it is smaller than the sum of its proper divisors (76944480).

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

28048800 is a wasteful number, since it uses less digits than its factorization.

28048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 28048800 is about 5296.1117812977. Note that the first 3 decimals coincide. The cubic root of 28048800 is about 303.8352061594.

The spelling of 28048800 in words is "twenty-eight million, forty-eight thousand, eight hundred".