282008160 has 288 divisors, whose sum is σ = 1114731072. Its totient is φ = 63590400.

The previous prime is 282008149. The next prime is 282008161. The reversal of 282008160 is 61800282.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282008161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1017942 + ... + 1018218.

It is an arithmetic number, because the mean of its divisors is an integer number (3870594).

Almost surely, 2^282008160 is an apocalyptic number.

282008160 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 282008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557365536).

282008160 is an abundant number, since it is smaller than the sum of its proper divisors (832722912).

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

282008160 is a wasteful number, since it uses less digits than its factorization.

282008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 282008160 is about 16793.0985824534. The cubic root of 282008160 is about 655.7735436866.

The spelling of 282008160 in words is "two hundred eighty-two million, eight thousand, one hundred sixty".