282132408 has 64 divisors (see below), whose sum is σ = 749014560. Its totient is φ = 88252416.

The previous prime is 282132407. The next prime is 282132427. The reversal of 282132408 is 804231282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282132401) 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, 175866 + ... + 177462.

Almost surely, 2^282132408 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 282132408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374507280).

282132408 is an abundant number, since it is smaller than the sum of its proper divisors (466882152).

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

282132408 is a wasteful number, since it uses less digits than its factorization.

282132408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 282132408 is about 16796.7975519145. The cubic root of 282132408 is about 655.8698371037.

The spelling of 282132408 in words is "two hundred eighty-two million, one hundred thirty-two thousand, four hundred eight".