282464953728 has 256 divisors, whose sum is σ = 799708723200. Its totient is φ = 88085200896.

The previous prime is 282464953699. The next prime is 282464953777. The reversal of 282464953728 is 827359464282.

It is a super-2 number, since 2×282464953728² (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 327305425 + ... + 327306287.

It is an arithmetic number, because the mean of its divisors is an integer number (3123862200).

Almost surely, 2^282464953728 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 282464953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399854361600).

282464953728 is an abundant number, since it is smaller than the sum of its proper divisors (517243769472).

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

282464953728 is a wasteful number, since it uses less digits than its factorization.

282464953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1397 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 282464953728 in words is "two hundred eighty-two billion, four hundred sixty-four million, nine hundred fifty-three thousand, seven hundred twenty-eight".