282968140 has 192 divisors, whose sum is σ = 790272000. Its totient is φ = 84333312.

The previous prime is 282968131. The next prime is 282968141. The reversal of 282968140 is 41869282.

It is a junction number, because it is equal to n+sod(n) for n = 282968093 and 282968102.

It is not an unprimeable number, because it can be changed into a prime (282968141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1694337 + ... + 1694503.

It is an arithmetic number, because the mean of its divisors is an integer number (4116000).

Almost surely, 2^282968140 is an apocalyptic number.

282968140 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 282968140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395136000).

282968140 is an abundant number, since it is smaller than the sum of its proper divisors (507303860).

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

282968140 is a wasteful number, since it uses less digits than its factorization.

282968140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 282968140 is about 16821.6568743986. The cubic root of 282968140 is about 656.5168041064.

The spelling of 282968140 in words is "two hundred eighty-two million, nine hundred sixty-eight thousand, one hundred forty".