282948000 has 384 divisors, whose sum is σ = 1047271680. Its totient is φ = 66355200.

The previous prime is 282947971. The next prime is 282948007. The reversal of 282948000 is 849282.

It is not an unprimeable number, because it can be changed into a prime (282948007) 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 63 ways as a sum of consecutive naturals, for example, 3875964 + ... + 3876036.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 2^282948000 is an apocalyptic number.

282948000 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 282948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523635840).

282948000 is an abundant number, since it is smaller than the sum of its proper divisors (764323680).

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

282948000 is a wasteful number, since it uses less digits than its factorization.

282948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 282948000 is about 16821.0582306822. The cubic root of 282948000 is about 656.5012280747.

The spelling of 282948000 in words is "two hundred eighty-two million, nine hundred forty-eight thousand".