282927955968 has 648 divisors, whose sum is σ = 990623716992. Its totient is φ = 79116632064.

The previous prime is 282927955957. The next prime is 282927955979. The reversal of 282927955968 is 869559729282.

282927955968 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 2 + 7 + 9 + 559 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (282927955957) and next prime (282927955979).

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (391910400) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 282927955896 and 282927955905.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6019743721 + ... + 6019743767.

It is an arithmetic number, because the mean of its divisors is an integer number (1528740304).

Almost surely, 2^282927955968 is an apocalyptic number.

282927955968 is a gapful number since it is divisible by the number (28) 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 282927955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495311858496).

282927955968 is an abundant number, since it is smaller than the sum of its proper divisors (707695761024).

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

282927955968 is an frugal number, since it uses more digits than its factorization.

282927955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 282927955968 in words is "two hundred eighty-two billion, nine hundred twenty-seven million, nine hundred fifty-five thousand, nine hundred sixty-eight".