10389928761 has 27 divisors (see below), whose sum is σ = 15285177453. Its totient is φ = 6800836320.

The previous prime is 10389928753. The next prime is 10389928789. The reversal of 10389928761 is 16782998301.

The square root of 10389928761 is 101931.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8156799225 + 2233129536 = 90315^2 + 47256^2 .

It is not a de Polignac number, because 10389928761 - 2³ = 10389928753 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10389928698 and 10389928707.

It is not an unprimeable number, because it can be changed into a prime (10389928751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18653095 + ... + 18653651.

Almost surely, 2^10389928761 is an apocalyptic number.

10389928761 is the 101931-st square number.

10389928761 is the 50966-th centered octagonal number.

It is an amenable number.

10389928761 is a deficient number, since it is larger than the sum of its proper divisors (4895248692).

10389928761 is an frugal number, since it uses more digits than its factorization.

10389928761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10389928761 in words is "ten billion, three hundred eighty-nine million, nine hundred twenty-eight thousand, seven hundred sixty-one".