10288389120 has 528 divisors, whose sum is σ = 36880782624. Its totient is φ = 2437939200.

The previous prime is 10288389037. The next prime is 10288389157. The reversal of 10288389120 is 2198388201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250936300 + ... + 250936340.

Almost surely, 2^10288389120 is an apocalyptic number.

10288389120 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 10288389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440391312).

10288389120 is an abundant number, since it is smaller than the sum of its proper divisors (26592393504).

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

10288389120 is a wasteful number, since it uses less digits than its factorization.

10288389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 10288389120 in words is "ten billion, two hundred eighty-eight million, three hundred eighty-nine thousand, one hundred twenty".