10427657728 has 40 divisors (see below), whose sum is σ = 20880616680. Its totient is φ = 5202401280.

The previous prime is 10427657663. The next prime is 10427657743. The reversal of 10427657728 is 82775672401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213943 + ... + 258121.

It is an arithmetic number, because the mean of its divisors is an integer number (522015417).

Almost surely, 2^10427657728 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 10427657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10440308340).

10427657728 is an abundant number, since it is smaller than the sum of its proper divisors (10452958952).

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

10427657728 is an frugal number, since it uses more digits than its factorization.

10427657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44658 (or 44642 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 49.

The spelling of 10427657728 in words is "ten billion, four hundred twenty-seven million, six hundred fifty-seven thousand, seven hundred twenty-eight".