10287283200 has 132 divisors (see below), whose sum is σ = 34000260600. Its totient is φ = 2743255040.

The previous prime is 10287283177. The next prime is 10287283211. The reversal of 10287283200 is 238278201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9826 + ... + 143774.

Almost surely, 2^10287283200 is an apocalyptic number.

10287283200 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 10287283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17000130300).

10287283200 is an abundant number, since it is smaller than the sum of its proper divisors (23712977400).

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

10287283200 is a wasteful number, since it uses less digits than its factorization.

10287283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133982 (or 133959 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10287283200 in words is "ten billion, two hundred eighty-seven million, two hundred eighty-three thousand, two hundred".