283808 has 36 divisors (see below), whose sum is σ = 653562. Its totient is φ = 120960.

The previous prime is 283807. The next prime is 283813. The reversal of 283808 is 808382.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 784 = 532^2 + 28^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283808.

It is not an unprimeable number, because it can be changed into a prime (283807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1478 + ... + 1658.

2²⁸³⁸⁰⁸ is an apocalyptic number.

283808 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 283808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326781).

283808 is an abundant number, since it is smaller than the sum of its proper divisors (369754).

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

283808 is a wasteful number, since it uses less digits than its factorization.

283808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 283808 is about 532.7363325323. The cubic root of 283808 is about 65.7165684687.

The spelling of 283808 in words is "two hundred eighty-three thousand, eight hundred eight".