10288129260 has 96 divisors (see below), whose sum is σ = 29532045312. Its totient is φ = 2674667520.

The previous prime is 10288129231. The next prime is 10288129261. The reversal of 10288129260 is 6292188201.

It is not an unprimeable number, because it can be changed into a prime (10288129261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485205 + ... + 1492115.

It is an arithmetic number, because the mean of its divisors is an integer number (307625472).

Almost surely, 2^10288129260 is an apocalyptic number.

10288129260 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 10288129260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766022656).

10288129260 is an abundant number, since it is smaller than the sum of its proper divisors (19243916052).

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

10288129260 is a wasteful number, since it uses less digits than its factorization.

10288129260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 10288129260 in words is "ten billion, two hundred eighty-eight million, one hundred twenty-nine thousand, two hundred sixty".