282225775392 has 576 divisors, whose sum is σ = 928448801280. Its totient is φ = 83619993600.

The previous prime is 282225775361. The next prime is 282225775393. The reversal of 282225775392 is 293577522282.

282225775392 is a `hidden beast` number, since 2 + 82 + 2 + 25 + 7 + 7 + 539 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (282225775393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 997264083 + ... + 997264365.

It is an arithmetic number, because the mean of its divisors is an integer number (1611890280).

Almost surely, 2^282225775392 is an apocalyptic number.

282225775392 is a gapful number since it is divisible by the number (22) 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 282225775392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464224400640).

282225775392 is an abundant number, since it is smaller than the sum of its proper divisors (646223025888).

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

282225775392 is a wasteful number, since it uses less digits than its factorization.

282225775392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

It can be divided in two parts, 28222577 and 5392, that added together give a square (28227969 = 5313²).

The spelling of 282225775392 in words is "two hundred eighty-two billion, two hundred twenty-five million, seven hundred seventy-five thousand, three hundred ninety-two".