282072960 has 192 divisors, whose sum is σ = 1049237280. Its totient is φ = 69414912.

The previous prime is 282072913. The next prime is 282072979. The reversal of 282072960 is 69270282.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72997 + ... + 76763.

Almost surely, 2^282072960 is an apocalyptic number.

282072960 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 282072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524618640).

282072960 is an abundant number, since it is smaller than the sum of its proper divisors (767164320).

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

282072960 is a wasteful number, since it uses less digits than its factorization.

282072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 282072960 is about 16795.0278356423. The cubic root of 282072960 is about 655.8237678494.

The spelling of 282072960 in words is "two hundred eighty-two million, seventy-two thousand, nine hundred sixty".