28579676717088 has 216 divisors, whose sum is σ = 95287027110912. Its totient is φ = 8101325175552.

The previous prime is 28579676717083. The next prime is 28579676717093. The reversal of 28579676717088 is 88071767697582.

28579676717088 is a `hidden beast` number, since 28 + 579 + 6 + 7 + 6 + 7 + 17 + 0 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28579676717083) and next prime (28579676717093).

It is a junction number, because it is equal to n+sod(n) for n = 28579676716998 and 28579676717016.

It is not an unprimeable number, because it can be changed into a prime (28579676717083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6181020 + ... + 9765467.

It is an arithmetic number, because the mean of its divisors is an integer number (441143644032).

Almost surely, 2^{28579676717088} is an apocalyptic number.

28579676717088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28579676717088 is an abundant number, since it is smaller than the sum of its proper divisors (66707350393824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28579676717088 is a wasteful number, since it uses less digits than its factorization.

28579676717088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15946644 (or 15946626 counting only the distinct ones).

The product of its (nonzero) digits is 3982970880, while the sum is 81.

The spelling of 28579676717088 in words is "twenty-eight trillion, five hundred seventy-nine billion, six hundred seventy-six million, seven hundred seventeen thousand, eighty-eight".