282746880 has 336 divisors, whose sum is σ = 1073414160. Its totient is φ = 68419584.

The previous prime is 282746879. The next prime is 282746881. The reversal of 282746880 is 88647282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (282746879) and next prime (282746881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282746881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792291 + ... + 4792349.

It is an arithmetic number, because the mean of its divisors is an integer number (3194685).

Almost surely, 2^282746880 is an apocalyptic number.

282746880 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 282746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536707080).

282746880 is an abundant number, since it is smaller than the sum of its proper divisors (790667280).

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

282746880 is a wasteful number, since it uses less digits than its factorization.

282746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 282746880 is about 16815.0789471831. The cubic root of 282746880 is about 656.3456437470.

The spelling of 282746880 in words is "two hundred eighty-two million, seven hundred forty-six thousand, eight hundred eighty".