28624714942849 has 9 divisors (see below), whose sum is σ = 28680073208451. Its totient is φ = 28569463355160.

The previous prime is 28624714942847. The next prime is 28624714942903. The reversal of 28624714942849 is 94824941742682.

The square root of 28624714942849 is 5350207.

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., 12328476283249 + 16296238659600 = 3511193^2 + 4036860^2 .

It is not a de Polignac number, because 28624714942849 - 2¹ = 28624714942847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28624714942841) 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, 2926558339 + ... + 2926568119.

It is an arithmetic number, because the mean of its divisors is an integer number (3186674800939).

Almost surely, 2^{28624714942849} is an apocalyptic number.

28624714942849 is the 5350207-th square number.

28624714942849 is the 2675104-th centered octagonal number.

It is an amenable number.

28624714942849 is a deficient number, since it is larger than the sum of its proper divisors (55358265602).

28624714942849 is an frugal number, since it uses more digits than its factorization.

28624714942849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20656 (or 10328 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 70.

The spelling of 28624714942849 in words is "twenty-eight trillion, six hundred twenty-four billion, seven hundred fourteen million, nine hundred forty-two thousand, eight hundred forty-nine".