28081175353920 has 672 divisors, whose sum is σ = 105183342071808. Its totient is φ = 6835168198656.

The previous prime is 28081175353867. The next prime is 28081175353951. The reversal of 28081175353920 is 2935357118082.

28081175353920 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 1 + 17 + 535 + 3 + 92 + 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, 1459738542 + ... + 1459757778.

It is an arithmetic number, because the mean of its divisors is an integer number (156522830464).

Almost surely, 2^{28081175353920} is an apocalyptic number.

28081175353920 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 28081175353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52591671035904).

28081175353920 is an abundant number, since it is smaller than the sum of its proper divisors (77102166717888).

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

28081175353920 is a wasteful number, since it uses less digits than its factorization.

28081175353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19707 (or 19694 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 28081175353920 in words is "twenty-eight trillion, eighty-one billion, one hundred seventy-five million, three hundred fifty-three thousand, nine hundred twenty".