283967488 has 68 divisors (see below), whose sum is σ = 650112160. Its totient is φ = 121503744.

The previous prime is 283967479. The next prime is 283967501. The reversal of 283967488 is 884769382.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458443 + ... + 459061.

Almost surely, 2^283967488 is an apocalyptic number.

283967488 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 283967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325056080).

283967488 is an abundant number, since it is smaller than the sum of its proper divisors (366144672).

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

283967488 is an frugal number, since it uses more digits than its factorization.

283967488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 628 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The square root of 283967488 is about 16851.3349026123. The cubic root of 283967488 is about 657.2887613376.

The spelling of 283967488 in words is "two hundred eighty-three million, nine hundred sixty-seven thousand, four hundred eighty-eight".