282081312 has 96 divisors (see below), whose sum is σ = 842909760. Its totient is φ = 91722240.

The previous prime is 282081299. The next prime is 282081341. The reversal of 282081312 is 213180282.

282081312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31443 + ... + 39405.

It is an arithmetic number, because the mean of its divisors is an integer number (8780310).

Almost surely, 2^282081312 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 282081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421454880).

282081312 is an abundant number, since it is smaller than the sum of its proper divisors (560828448).

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

282081312 is a wasteful number, since it uses less digits than its factorization.

282081312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 8009 counting only the distinct ones).

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

The square root of 282081312 is about 16795.2764788199. The cubic root of 282081312 is about 655.8302406264.

The spelling of 282081312 in words is "two hundred eighty-two million, eighty-one thousand, three hundred twelve".