282057132 has 192 divisors, whose sum is σ = 846720000. Its totient is φ = 72705024.

The previous prime is 282057131. The next prime is 282057143. The reversal of 282057132 is 231750282.

It is a self number, because there is not a number n which added to its sum of digits gives 282057132.

It is not an unprimeable number, because it can be changed into a prime (282057131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2029119 + ... + 2029257.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 2^282057132 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 282057132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360000).

282057132 is an abundant number, since it is smaller than the sum of its proper divisors (564662868).

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

282057132 is a wasteful number, since it uses less digits than its factorization.

282057132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 282057132 is about 16794.5566181427. The cubic root of 282057132 is about 655.8115008426.

The spelling of 282057132 in words is "two hundred eighty-two million, fifty-seven thousand, one hundred thirty-two".