28800300167153 has 2 divisors, whose sum is σ = 28800300167154. Its totient is φ = 28800300167152.

The previous prime is 28800300167083. The next prime is 28800300167189. The reversal of 28800300167153 is 35176100300882.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25036343198689 + 3763956968464 = 5003633^2 + 1940092^2 .

It is a cyclic number.

It is not a de Polignac number, because 28800300167153 - 2²⁴ = 28800283389937 is a prime.

It is a super-2 number, since 2×28800300167153² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (28800300161153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14400150083576 + 14400150083577.

It is an arithmetic number, because the mean of its divisors is an integer number (14400150083577).

Almost surely, 2^{28800300167153} is an apocalyptic number.

It is an amenable number.

28800300167153 is a deficient number, since it is larger than the sum of its proper divisors (1).

28800300167153 is an equidigital number, since it uses as much as digits as its factorization.

28800300167153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 28800300167153 in words is "twenty-eight trillion, eight hundred billion, three hundred million, one hundred sixty-seven thousand, one hundred fifty-three".