282080016 has 80 divisors (see below), whose sum is σ = 815027200. Its totient is φ = 93405312.

The previous prime is 282080011. The next prime is 282080047. The reversal of 282080016 is 610080282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (282080011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65745 + ... + 69903.

It is an arithmetic number, because the mean of its divisors is an integer number (10187840).

Almost surely, 2^282080016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407513600).

282080016 is an abundant number, since it is smaller than the sum of its proper divisors (532947184).

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

282080016 is a wasteful number, since it uses less digits than its factorization.

282080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4321 counting only the distinct ones).

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

The square root of 282080016 is about 16795.2378964991. The cubic root of 282080016 is about 655.8292362383.

The spelling of 282080016 in words is "two hundred eighty-two million, eighty thousand, sixteen".