283448800 has 72 divisors (see below), whose sum is σ = 697221000. Its totient is φ = 112519680.

The previous prime is 283448773. The next prime is 283448801. The reversal of 283448800 is 8844382.

It is a self number, because there is not a number n which added to its sum of digits gives 283448800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283448801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109926 + ... + 112474.

It is an arithmetic number, because the mean of its divisors is an integer number (9683625).

Almost surely, 2^283448800 is an apocalyptic number.

283448800 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 283448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348610500).

283448800 is an abundant number, since it is smaller than the sum of its proper divisors (413772200).

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

283448800 is a wasteful number, since it uses less digits than its factorization.

283448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 283448800 is about 16835.9377523202. The cubic root of 283448800 is about 656.8883216216. Note that the first 3 decimals are identical.

The spelling of 283448800 in words is "two hundred eighty-three million, four hundred forty-eight thousand, eight hundred".