282638120 has 16 divisors (see below), whose sum is σ = 635935860. Its totient is φ = 113055232.

The previous prime is 282638117. The next prime is 282638123. The reversal of 282638120 is 21836282.

It is an interprime number because it is at equal distance from previous prime (282638117) and next prime (282638123).

It can be written as a sum of positive squares in 2 ways, for example, as 280160644 + 2477476 = 16738^2 + 1574^2 .

It is not an unprimeable number, because it can be changed into a prime (282638123) 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 3 ways as a sum of consecutive naturals, for example, 3532937 + ... + 3533016.

Almost surely, 2^282638120 is an apocalyptic number.

282638120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282638120 is an abundant number, since it is smaller than the sum of its proper divisors (353297740).

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

282638120 is a wasteful number, since it uses less digits than its factorization.

282638120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065964 (or 7065960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 282638120 is about 16811.8446340668. The cubic root of 282638120 is about 656.2614774108.

The spelling of 282638120 in words is "two hundred eighty-two million, six hundred thirty-eight thousand, one hundred twenty".