28344667208841 has 243 divisors, whose sum is σ = 47034122858541. Its totient is φ = 16444681624800.

The previous prime is 28344667208839. The next prime is 28344667208843. The reversal of 28344667208841 is 14880276644382.

It is a happy number.

The square root of 28344667208841 is 5323971.

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

28344667208841 is a `hidden beast` number, since 2 + 8 + 3 + 446 + 6 + 72 + 0 + 88 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (28344667208839) and next prime (28344667208843).

It is not a de Polignac number, because 28344667208841 - 2¹ = 28344667208839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28344667208843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 216371505346 + ... + 216371505476.

Almost surely, 2^{28344667208841} is an apocalyptic number.

28344667208841 is the 5323971-st square number.

28344667208841 is the 2661986-th centered octagonal number.

It is an amenable number.

28344667208841 is a deficient number, since it is larger than the sum of its proper divisors (18689455649700).

28344667208841 is a wasteful number, since it uses less digits than its factorization.

28344667208841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 28344667208841 in words is "twenty-eight trillion, three hundred forty-four billion, six hundred sixty-seven million, two hundred eight thousand, eight hundred forty-one".