282147840 has 352 divisors, whose sum is σ = 1086711360. Its totient is φ = 69009408.

The previous prime is 282147839. The next prime is 282147863. The reversal of 282147840 is 48741282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 282147795 and 282147804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797042 + ... + 1797198.

Almost surely, 2^282147840 is an apocalyptic number.

282147840 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 282147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543355680).

282147840 is an abundant number, since it is smaller than the sum of its proper divisors (804563520).

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

282147840 is a wasteful number, since it uses less digits than its factorization.

282147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 282147840 is about 16797.2569189139. The cubic root of 282147840 is about 655.8817950810.

The spelling of 282147840 in words is "two hundred eighty-two million, one hundred forty-seven thousand, eight hundred forty".