28585880644608 has 528 divisors, whose sum is σ = 97995173552640. Its totient is φ = 7855910092800.

The previous prime is 28585880644561. The next prime is 28585880644639. The reversal of 28585880644608 is 80644608858582.

It is a happy number.

28585880644608 is a `hidden beast` number, since 2 + 8 + 5 + 8 + 5 + 8 + 8 + 0 + 6 + 4 + 4 + 608 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187718323 + ... + 187870541.

Almost surely, 2^{28585880644608} is an apocalyptic number.

28585880644608 is a gapful number since it is divisible by the number (28) 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 28585880644608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48997586776320).

28585880644608 is an abundant number, since it is smaller than the sum of its proper divisors (69409292908032).

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

28585880644608 is a wasteful number, since it uses less digits than its factorization.

28585880644608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152364 (or 152343 counting only the distinct ones).

The product of its (nonzero) digits is 943718400, while the sum is 72.

The spelling of 28585880644608 in words is "twenty-eight trillion, five hundred eighty-five billion, eight hundred eighty million, six hundred forty-four thousand, six hundred eight".