10428811220689 has 9 divisors (see below), whose sum is σ = 10527536452251. Its totient is φ = 10331003382360.

The previous prime is 10428811220669. The next prime is 10428811220771. The reversal of 10428811220689 is 98602211882401.

The square root of 10428811220689 is 3229367.

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

10428811220689 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., 4755744708289 + 5673066512400 = 2180767^2 + 2381820^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10428811220689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10428811220669) 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, 345527179 + ... + 345557359.

Almost surely, 2^{10428811220689} is an apocalyptic number.

10428811220689 is the 3229367-th square number.

10428811220689 is the 1614684-th centered octagonal number.

It is an amenable number.

10428811220689 is a deficient number, since it is larger than the sum of its proper divisors (98725231562).

10428811220689 is an frugal number, since it uses more digits than its factorization.

10428811220689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60576 (or 30288 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 10428811220689 in words is "ten trillion, four hundred twenty-eight billion, eight hundred eleven million, two hundred twenty thousand, six hundred eighty-nine".