282712422720 has 336 divisors, whose sum is σ = 1124483326848. Its totient is φ = 59649085440.

The previous prime is 282712422719. The next prime is 282712422749. The reversal of 282712422720 is 27224217282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380365 + ... + 842675.

It is an arithmetic number, because the mean of its divisors is an integer number (3346676568).

Almost surely, 2^282712422720 is an apocalyptic number.

282712422720 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 282712422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562241663424).

282712422720 is an abundant number, since it is smaller than the sum of its proper divisors (841770904128).

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

282712422720 is a wasteful number, since it uses less digits than its factorization.

282712422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462358 (or 462341 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 282712422720 in words is "two hundred eighty-two billion, seven hundred twelve million, four hundred twenty-two thousand, seven hundred twenty".