10289952288 has 720 divisors, whose sum is σ = 39256620480. Its totient is φ = 2586608640.

The previous prime is 10289952269. The next prime is 10289952349. The reversal of 10289952288 is 88225998201.

It is a happy number.

10289952288 is a `hidden beast` number, since 1 + 0 + 28 + 99 + 522 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 94403178 + ... + 94403286.

It is an arithmetic number, because the mean of its divisors is an integer number (54523084).

Almost surely, 2^10289952288 is an apocalyptic number.

10289952288 is a gapful number since it is divisible by the number (18) 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 10289952288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19628310240).

10289952288 is an abundant number, since it is smaller than the sum of its proper divisors (28966668192).

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

10289952288 is a wasteful number, since it uses less digits than its factorization.

10289952288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 10289952288 in words is "ten billion, two hundred eighty-nine million, nine hundred fifty-two thousand, two hundred eighty-eight".