28338598206801 has 99 divisors (see below), whose sum is σ = 44901595464219. Its totient is φ = 17882538988032.

The previous prime is 28338598206727. The next prime is 28338598206803. The reversal of 28338598206801 is 10860289583382.

The square root of 28338598206801 is 5323401.

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

28338598206801 is a `hidden beast` number, since 2 + 8 + 3 + 38 + 598 + 2 + 0 + 6 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22395846380625 + 5942751826176 = 4732425^2 + 2437776^2 .

It is not a de Polignac number, because 28338598206801 - 2²⁵ = 28338564652369 is a prime.

It is a super-2 number, since 2×28338598206801² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28338598206803) 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 98 ways as a sum of consecutive naturals, for example, 24578141841 + ... + 24578142993.

Almost surely, 2^{28338598206801} is an apocalyptic number.

28338598206801 is the 5323401-st square number.

28338598206801 is the 2661701-st centered octagonal number.

It is an amenable number.

28338598206801 is a deficient number, since it is larger than the sum of its proper divisors (16562997257418).

28338598206801 is an frugal number, since it uses more digits than its factorization.

28338598206801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 28338598206801 in words is "twenty-eight trillion, three hundred thirty-eight billion, five hundred ninety-eight million, two hundred six thousand, eight hundred one".