282839040 has 480 divisors, whose sum is σ = 1141620480. Its totient is φ = 66355200.

The previous prime is 282839021. The next prime is 282839041. The reversal of 282839040 is 40938282.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 282838986 and 282839004.

It is not an unprimeable number, because it can be changed into a prime (282839041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123825 + ... + 9123855.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2^282839040 is an apocalyptic number.

282839040 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 282839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810240).

282839040 is an abundant number, since it is smaller than the sum of its proper divisors (858781440).

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

282839040 is a wasteful number, since it uses less digits than its factorization.

282839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 282839040 is about 16817.8191213962. The cubic root of 282839040 is about 656.4169469136.

The spelling of 282839040 in words is "two hundred eighty-two million, eight hundred thirty-nine thousand, forty".