283008768 has 144 divisors (see below), whose sum is σ = 875943936. Its totient is φ = 79441920.

The previous prime is 283008749. The next prime is 283008779. The reversal of 283008768 is 867800382.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 327505 + ... + 328367.

It is an arithmetic number, because the mean of its divisors is an integer number (6082944).

Almost surely, 2^283008768 is an apocalyptic number.

283008768 is a gapful number since it is divisible by the number (28) 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 283008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437971968).

283008768 is an abundant number, since it is smaller than the sum of its proper divisors (592935168).

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

283008768 is an equidigital number, since it uses as much as digits as its factorization.

283008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

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

The square root of 283008768 is about 16822.8644409922. The cubic root of 283008768 is about 656.5482230596.

The spelling of 283008768 in words is "two hundred eighty-three million, eight thousand, seven hundred sixty-eight".