283328000 has 160 divisors (see below), whose sum is σ = 746871840. Its totient is φ = 106905600.

The previous prime is 283327973. The next prime is 283328011. The reversal of 283328000 is 823382.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215884 + ... + 1216116.

It is an arithmetic number, because the mean of its divisors is an integer number (4667949).

Almost surely, 2^283328000 is an apocalyptic number.

283328000 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 283328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373435920).

283328000 is an abundant number, since it is smaller than the sum of its proper divisors (463543840).

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

283328000 is an equidigital number, since it uses as much as digits as its factorization.

283328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 283328000 is about 16832.3498062511. The cubic root of 283328000 is about 656.7949909688.

The spelling of 283328000 in words is "two hundred eighty-three million, three hundred twenty-eight thousand".