282133530 has 160 divisors (see below), whose sum is σ = 918314496. Its totient is φ = 60673536.

The previous prime is 282133519. The next prime is 282133543. The reversal of 282133530 is 35331282.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 282133494 and 282133503.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94927 + ... + 97853.

Almost surely, 2^282133530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282133530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459157248).

282133530 is an abundant number, since it is smaller than the sum of its proper divisors (636180966).

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

282133530 is a wasteful number, since it uses less digits than its factorization.

282133530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 282133530 is about 16796.8309511050. The cubic root of 282133530 is about 655.8707065359.

The spelling of 282133530 in words is "two hundred eighty-two million, one hundred thirty-three thousand, five hundred thirty".