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28746490518 = 23310128118757
BaseRepresentation
bin11010110001011011…
…001010001010010110
32202012101121000122000
4122301123022022112
5432333100144033
621112253020130
72035236065154
oct326133121226
982171530560
1028746490518
111121170a889
1256a3184646
132931787005
141569b8a3d4
15b33a6da13
hex6b16ca296

28746490518 has 64 divisors (see below), whose sum is σ = 64746613440. Its totient is φ = 9453024000.

The previous prime is 28746490511. The next prime is 28746490519. The reversal of 28746490518 is 81509464782.

It is a happy number.

28746490518 is a `hidden beast` number, since 2 + 87 + 4 + 6 + 49 + 0 + 518 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28746490511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523196 + ... + 1541952.

It is an arithmetic number, because the mean of its divisors is an integer number (1011665835).

Almost surely, 228746490518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28746490518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32373306720).

28746490518 is an abundant number, since it is smaller than the sum of its proper divisors (36000122922).

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

28746490518 is a wasteful number, since it uses less digits than its factorization.

28746490518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19150 (or 19144 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 28746490518 in words is "twenty-eight billion, seven hundred forty-six million, four hundred ninety thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 101 202 281 303 562 606 843 909 1686 1818 2529 2727 5058 5454 7587 15174 18757 28381 37514 56271 56762 85143 112542 168813 170286 255429 337626 506439 510858 766287 1012878 1532574 1894457 3788914 5270717 5683371 10541434 11366742 15812151 17050113 31624302 34100226 47436453 51150339 94872906 102300678 142309359 284618718 532342417 1064684834 1597027251 3194054502 4791081753 9582163506 14373245259 28746490518