282087120 has 360 divisors, whose sum is σ = 1093617504. Its totient is φ = 59953152.

The previous prime is 282087107. The next prime is 282087121. The reversal of 282087120 is 21780282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282087121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3398599 + ... + 3398681.

Almost surely, 2^282087120 is an apocalyptic number.

282087120 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 282087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546808752).

282087120 is an abundant number, since it is smaller than the sum of its proper divisors (811530384).

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

282087120 is a wasteful number, since it uses less digits than its factorization.

282087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 282087120 is about 16795.4493836872. The cubic root of 282087120 is about 655.8347417350.

The spelling of 282087120 in words is "two hundred eighty-two million, eighty-seven thousand, one hundred twenty".