28505686472307 has 256 divisors, whose sum is σ = 50114764800000. Its totient is φ = 15837537830400.

The previous prime is 28505686472303. The next prime is 28505686472447. The reversal of 28505686472307 is 70327468650582.

28505686472307 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 56 + 86 + 472 + 30 + 7 = 666.

It is not a de Polignac number, because 28505686472307 - 2² = 28505686472303 is a prime.

It is a super-2 number, since 2×28505686472307² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28505686472303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9963538057 + ... + 9963540917.

It is an arithmetic number, because the mean of its divisors is an integer number (195760800000).

Almost surely, 2^{28505686472307} is an apocalyptic number.

28505686472307 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

28505686472307 is a deficient number, since it is larger than the sum of its proper divisors (21609078327693).

28505686472307 is a wasteful number, since it uses less digits than its factorization.

28505686472307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 28505686472307 in words is "twenty-eight trillion, five hundred five billion, six hundred eighty-six million, four hundred seventy-two thousand, three hundred seven".