10288654728 has 128 divisors (see below), whose sum is σ = 30669373440. Its totient is φ = 2839680000.

The previous prime is 10288654721. The next prime is 10288654741. The reversal of 10288654728 is 82745688201.

It is a super-2 number, since 2×10288654728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (10288654721) 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, 102153 + ... + 176103.

It is an arithmetic number, because the mean of its divisors is an integer number (239604480).

Almost surely, 2^10288654728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10288654728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334686720).

10288654728 is an abundant number, since it is smaller than the sum of its proper divisors (20380718712).

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

10288654728 is a wasteful number, since it uses less digits than its factorization.

10288654728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74019 (or 74015 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 10288654728 in words is "ten billion, two hundred eighty-eight million, six hundred fifty-four thousand, seven hundred twenty-eight".