1028648293729 has 9 divisors (see below), whose sum is σ = 1196599131027. Its totient is φ = 881692452144.

The previous prime is 1028648293679. The next prime is 1028648293789. The reversal of 1028648293729 is 9273928468201.

The square root of 1028648293729 is 1014223.

It is a perfect power (a square), and thus also a powerful number.

1028648293729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 724076759329 + 304571534400 = 850927^2 + 551880^2 .

It is not a de Polignac number, because 1028648293729 - 2¹¹ = 1028648291681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1028648293789) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7027117 + ... + 7172005.

It is an arithmetic number, because the mean of its divisors is an integer number (132955459003).

Almost surely, 2^{1028648293729} is an apocalyptic number.

1028648293729 is the 1014223-rd square number.

1028648293729 is the 507112-nd centered octagonal number.

It is an amenable number.

1028648293729 is a deficient number, since it is larger than the sum of its proper divisors (167950837298).

1028648293729 is an frugal number, since it uses more digits than its factorization.

1028648293729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289792 (or 144896 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 1028648293729 in words is "one trillion, twenty-eight billion, six hundred forty-eight million, two hundred ninety-three thousand, seven hundred twenty-nine".