28045508231601 has 27 divisors (see below), whose sum is σ = 47124272126763. Its totient is φ = 16025941154160.

The previous prime is 28045508231581. The next prime is 28045508231621. The reversal of 28045508231601 is 10613280554082.

The square root of 28045508231601 is 5295801.

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

28045508231601 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 5 + 5 + 0 + 8 + 2 + 31 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (28045508231581) and next prime (28045508231621).

It can be written as a sum of positive squares in only one way, i.e., 372647981601 + 27672860250000 = 610449^2 + 5260500^2 .

It is not a de Polignac number, because 28045508231601 - 2⁷ = 28045508231473 is a prime.

It is a super-3 number, since 3×28045508231601³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (28045508231621) 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, 111085731 + ... + 111337911.

Almost surely, 2^{28045508231601} is an apocalyptic number.

28045508231601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28045508231601 is the 5295801-st square number.

28045508231601 is the 2647901-st centered octagonal number.

It is an amenable number.

28045508231601 is a deficient number, since it is larger than the sum of its proper divisors (19078763895162).

28045508231601 is an frugal number, since it uses more digits than its factorization.

28045508231601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504382 (or 252191 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 28045508231601 its reverse (10613280554082), we get a palindrome (38658788785683).

The spelling of 28045508231601 in words is "twenty-eight trillion, forty-five billion, five hundred eight million, two hundred thirty-one thousand, six hundred one".