28629252098161 has 243 divisors, whose sum is σ = 37937276284257. Its totient is φ = 21573744192000.

The previous prime is 28629252098123. The next prime is 28629252098207. The reversal of 28629252098161 is 16189025292682.

The square root of 28629252098161 is 5350631.

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 258502081761 + 28370750016400 = 508431^2 + 5326420^2 .

It is not a de Polignac number, because 28629252098161 - 2¹¹ = 28629252096113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28629252098161.

It is not an unprimeable number, because it can be changed into a prime (28629252090161) 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 242 ways as a sum of consecutive naturals, for example, 403228902756 + ... + 403228902826.

Almost surely, 2^{28629252098161} is an apocalyptic number.

28629252098161 is the 5350631-st square number.

28629252098161 is the 2675316-th centered octagonal number.

It is an amenable number.

28629252098161 is a deficient number, since it is larger than the sum of its proper divisors (9308024186096).

28629252098161 is a wasteful number, since it uses less digits than its factorization.

28629252098161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 28629252098161 in words is "twenty-eight trillion, six hundred twenty-nine billion, two hundred fifty-two million, ninety-eight thousand, one hundred sixty-one".