28505174575680 has 672 divisors, whose sum is σ = 115387831248768. Its totient is φ = 6381133824000.

The previous prime is 28505174575637. The next prime is 28505174575693. The reversal of 28505174575680 is 8657547150582.

It is a happy number.

28505174575680 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 5 + 17 + 4 + 57 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28044355 + ... + 29043005.

Almost surely, 2^{28505174575680} is an apocalyptic number.

28505174575680 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 28505174575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57693915624384).

28505174575680 is an abundant number, since it is smaller than the sum of its proper divisors (86882656673088).

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

28505174575680 is a wasteful number, since it uses less digits than its factorization.

28505174575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998755 (or 998742 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 63.

The spelling of 28505174575680 in words is "twenty-eight trillion, five hundred five billion, one hundred seventy-four million, five hundred seventy-five thousand, six hundred eighty".