28427900059440 has 480 divisors, whose sum is σ = 109365404928000. Its totient is φ = 6482551855104.

The previous prime is 28427900059423. The next prime is 28427900059541. The reversal of 28427900059440 is 4495000972482.

It is a happy number.

28427900059440 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 7 + 9 + 0 + 0 + 0 + 594 + 40 = 666.

It is a super-3 number, since 3×28427900059440³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6175948179 + ... + 6175952781.

It is an arithmetic number, because the mean of its divisors is an integer number (227844593600).

Almost surely, 2^{28427900059440} is an apocalyptic number.

28427900059440 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 28427900059440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54682702464000).

28427900059440 is an abundant number, since it is smaller than the sum of its proper divisors (80937504868560).

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

28427900059440 is a wasteful number, since it uses less digits than its factorization.

28427900059440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28427900059440 in words is "twenty-eight trillion, four hundred twenty-seven billion, nine hundred million, fifty-nine thousand, four hundred forty".