283768800 has 432 divisors, whose sum is σ = 1139927040. Its totient is φ = 60963840.

The previous prime is 283768787. The next prime is 283768801. The reversal of 283768800 is 8867382.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283768801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2234337 + ... + 2234463.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^283768800 is an apocalyptic number.

283768800 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 283768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569963520).

283768800 is an abundant number, since it is smaller than the sum of its proper divisors (856158240).

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

283768800 is a wasteful number, since it uses less digits than its factorization.

283768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 283768800 is about 16845.4385517267. The cubic root of 283768800 is about 657.1354270471.

The spelling of 283768800 in words is "two hundred eighty-three million, seven hundred sixty-eight thousand, eight hundred".