10285673382 has 48 divisors (see below), whose sum is σ = 23179966992. Its totient is φ = 3418329600.

The previous prime is 10285673381. The next prime is 10285673383. The reversal of 10285673382 is 28337658201.

10285673382 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 567 + 3 + 3 + 82 = 666.

10285673382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10285673381) and next prime (10285673383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285673381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132382 + ... + 195182.

It is an arithmetic number, because the mean of its divisors is an integer number (482915979).

Almost surely, 2^10285673382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10285673382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589983496).

10285673382 is an abundant number, since it is smaller than the sum of its proper divisors (12894293610).

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

10285673382 is an equidigital number, since it uses as much as digits as its factorization.

10285673382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63155 (or 63143 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10285673382 in words is "ten billion, two hundred eighty-five million, six hundred seventy-three thousand, three hundred eighty-two".