10288430460 has 576 divisors, whose sum is σ = 42503086080. Its totient is φ = 2023937280.

The previous prime is 10288430459. The next prime is 10288430461. The reversal of 10288430460 is 6403488201.

10288430460 is a `hidden beast` number, since 10 + 288 + 4 + 304 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10288430459) and next prime (10288430461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288430461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7109457 + ... + 7110903.

It is an arithmetic number, because the mean of its divisors is an integer number (73790080).

Almost surely, 2^10288430460 is an apocalyptic number.

10288430460 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 10288430460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251543040).

10288430460 is an abundant number, since it is smaller than the sum of its proper divisors (32214655620).

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

10288430460 is a wasteful number, since it uses less digits than its factorization.

10288430460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10288430460 in words is "ten billion, two hundred eighty-eight million, four hundred thirty thousand, four hundred sixty".