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28427900059440 = 24325761319994603
BaseRepresentation
bin1100111011010111000101…
…11000100111111100110000
310201122200101020022010222200
412131223202320213330300
512211230314403400230
6140243332541303200
75662563602362260
oct635534270477460
9121580336263880
1028427900059440
119070228519232
123231626264b00
1312b297c81152b
14703cbc2757a0
1534471ccb9160
hex19dae2e27f30

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, 228427900059440 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".