87619652928369 has 27 divisors (see below), whose sum is σ = 127806624139467. Its totient is φ = 57844074908016.

The previous prime is 87619652928289. The next prime is 87619652928371. The reversal of 87619652928369 is 96382925691678.

The square root of 87619652928369 is 9360537.

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

87619652928369 is a `hidden beast` number, since 8 + 7 + 6 + 1 + 9 + 6 + 529 + 2 + 83 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36811097856225 + 50808555072144 = 6067215^2 + 7128012^2 .

It is not a de Polignac number, because 87619652928369 - 2³³ = 87611062993777 is a prime.

It is a super-2 number, since 2×87619652928369² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87619652928169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2892390787 + ... + 2892421079.

Almost surely, 2^{87619652928369} is an apocalyptic number.

87619652928369 is the 9360537-th square number.

87619652928369 is the 4680269-th centered octagonal number.

It is an amenable number.

87619652928369 is a deficient number, since it is larger than the sum of its proper divisors (40186971211098).

87619652928369 is an frugal number, since it uses more digits than its factorization.

87619652928369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60798 (or 30399 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 81.

The spelling of 87619652928369 in words is "eighty-seven trillion, six hundred nineteen billion, six hundred fifty-two million, nine hundred twenty-eight thousand, three hundred sixty-nine".