282432920 has 128 divisors (see below), whose sum is σ = 800616960. Its totient is φ = 87106560.

The previous prime is 282432911. The next prime is 282432923. The reversal of 282432920 is 29234282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282432923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329132 + ... + 329988.

It is an arithmetic number, because the mean of its divisors is an integer number (6254820).

Almost surely, 2^282432920 is an apocalyptic number.

282432920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282432920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400308480).

282432920 is an abundant number, since it is smaller than the sum of its proper divisors (518184040).

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

282432920 is a wasteful number, since it uses less digits than its factorization.

282432920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 282432920 is about 16805.7406858490. The cubic root of 282432920 is about 656.1026200257.

The spelling of 282432920 in words is "two hundred eighty-two million, four hundred thirty-two thousand, nine hundred twenty".