10282346000 has 80 divisors (see below), whose sum is σ = 24885417648. Its totient is φ = 4109184000.

The previous prime is 10282345979. The next prime is 10282346003. The reversal of 10282346000 is 64328201.

It can be written as a sum of positive squares in 8 ways, for example, as 5406955024 + 4875390976 = 73532^2 + 69824^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10282346003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3480524 + ... + 3483476.

Almost surely, 2^10282346000 is an apocalyptic number.

10282346000 is a gapful number since it is divisible by the number (10) 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 10282346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442708824).

10282346000 is an abundant number, since it is smaller than the sum of its proper divisors (14603071648).

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

10282346000 is a wasteful number, since it uses less digits than its factorization.

10282346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 10282346000 in words is "ten billion, two hundred eighty-two million, three hundred forty-six thousand".