2628895803769 has 9 divisors (see below), whose sum is σ = 2649330953551. Its totient is φ = 2608617116560.

The previous prime is 2628895803757. The next prime is 2628895803773. The reversal of 2628895803769 is 9673085988262.

The square root of 2628895803769 is 1621387.

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

It can be written as a sum of positive squares in only one way, i.e., 300561615225 + 2328334188544 = 548235^2 + 1525888^2 .

It is not a de Polignac number, because 2628895803769 - 2⁹ = 2628895803257 is a prime.

It is a super-2 number, since 2×2628895803769² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2628895803749) 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 8 ways as a sum of consecutive naturals, for example, 212395509 + ... + 212407885.

Almost surely, 2^{2628895803769} is an apocalyptic number.

2628895803769 is the 1621387-th square number.

2628895803769 is the 810694-th centered octagonal number.

It is an amenable number.

2628895803769 is a deficient number, since it is larger than the sum of its proper divisors (20435149782).

2628895803769 is an frugal number, since it uses more digits than its factorization.

2628895803769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25016 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 73.

The spelling of 2628895803769 in words is "two trillion, six hundred twenty-eight billion, eight hundred ninety-five million, eight hundred three thousand, seven hundred sixty-nine".