10288607472 has 320 divisors, whose sum is σ = 35897702400. Its totient is φ = 2778209280.

The previous prime is 10288607437. The next prime is 10288607473. The reversal of 10288607472 is 27470688201.

10288607472 is a `hidden beast` number, since 10 + 28 + 8 + 607 + 4 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288607473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1788633 + ... + 1794375.

It is an arithmetic number, because the mean of its divisors is an integer number (112180320).

Almost surely, 2^10288607472 is an apocalyptic number.

10288607472 is a gapful number since it is divisible by the number (12) 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 10288607472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17948851200).

10288607472 is an abundant number, since it is smaller than the sum of its proper divisors (25609094928).

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

10288607472 is a wasteful number, since it uses less digits than its factorization.

10288607472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10288607472 in words is "ten billion, two hundred eighty-eight million, six hundred seven thousand, four hundred seventy-two".