284965472937728 has 288 divisors, whose sum is σ = 627297161400000. Its totient is φ = 128125933977600.

The previous prime is 284965472937727. The next prime is 284965472937751. The reversal of 284965472937728 is 827739274569482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284965472937721) 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 31 ways as a sum of consecutive naturals, for example, 163679190938 + ... + 163679192678.

It is an arithmetic number, because the mean of its divisors is an integer number (2178115143750).

Almost surely, 2^{284965472937728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284965472937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313648580700000).

284965472937728 is an abundant number, since it is smaller than the sum of its proper divisors (342331688462272).

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

284965472937728 is a wasteful number, since it uses less digits than its factorization.

284965472937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3445 counting only the distinct ones).

The product of its digits is 20483850240, while the sum is 83.

The spelling of 284965472937728 in words is "two hundred eighty-four trillion, nine hundred sixty-five billion, four hundred seventy-two million, nine hundred thirty-seven thousand, seven hundred twenty-eight".