28594126975680 has 560 divisors, whose sum is σ = 116298938116416. Its totient is φ = 6532765655040.

The previous prime is 28594126975649. The next prime is 28594126975697. The reversal of 28594126975680 is 8657962149582.

28594126975680 is a `hidden beast` number, since 2 + 8 + 5 + 9 + 412 + 69 + 75 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×28594126975680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28594126975599 and 28594126975608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 402942762 + ... + 403013718.

Almost surely, 2^{28594126975680} is an apocalyptic number.

28594126975680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28594126975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58149469058208).

28594126975680 is an abundant number, since it is smaller than the sum of its proper divisors (87704811140736).

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

28594126975680 is a wasteful number, since it uses less digits than its factorization.

28594126975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73214 (or 73195 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 28594126975680 in words is "twenty-eight trillion, five hundred ninety-four billion, one hundred twenty-six million, nine hundred seventy-five thousand, six hundred eighty".