10482284592 has 240 divisors, whose sum is σ = 34907640768. Its totient is φ = 2903408640.

The previous prime is 10482284587. The next prime is 10482284599. The reversal of 10482284592 is 29548228401.

10482284592 is a `hidden beast` number, since 1 + 0 + 482 + 2 + 84 + 5 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (10482284599) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724792 + ... + 739112.

Almost surely, 2^10482284592 is an apocalyptic number.

10482284592 is a gapful number since it is divisible by the number (12) 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 10482284592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453820384).

10482284592 is an abundant number, since it is smaller than the sum of its proper divisors (24425356176).

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

10482284592 is a wasteful number, since it uses less digits than its factorization.

10482284592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388 (or 14379 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10482284592 in words is "ten billion, four hundred eighty-two million, two hundred eighty-four thousand, five hundred ninety-two".