10287964000 has 96 divisors (see below), whose sum is σ = 25425350496. Its totient is φ = 4091123200.

The previous prime is 10287963947. The next prime is 10287964007. The reversal of 10287964000 is 46978201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287964007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684567 + ... + 699433.

It is an arithmetic number, because the mean of its divisors is an integer number (264847401).

Almost surely, 2^10287964000 is an apocalyptic number.

10287964000 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 10287964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12712675248).

10287964000 is an abundant number, since it is smaller than the sum of its proper divisors (15137386496).

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

10287964000 is a wasteful number, since it uses less digits than its factorization.

10287964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15065 (or 15047 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 10287964000 in words is "ten billion, two hundred eighty-seven million, nine hundred sixty-four thousand".