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28454506848 = 25353659273
BaseRepresentation
bin11010100000000001…
…010101000101100000
32201110001011201100000
4122200001111011200
5431233323204343
621023302500000
72025062213625
oct324001250540
981401151300
1028454506848
1111081911169
125621434600
1328b6134c01
14153d0a234c
15b180e4ed3
hex6a0055160

28454506848 has 72 divisors (see below), whose sum is σ = 83914471368. Its totient is φ = 9484833024.

The previous prime is 28454506763. The next prime is 28454506853. The reversal of 28454506848 is 84860545482.

28454506848 is a `hidden beast` number, since 2 + 8 + 4 + 54 + 506 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 28454506794 and 28454506803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1821861 + ... + 1837412.

It is an arithmetic number, because the mean of its divisors is an integer number (1165478769).

Almost surely, 228454506848 is an apocalyptic number.

It is an amenable number.

28454506848 is an abundant number, since it is smaller than the sum of its proper divisors (55459964520).

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

28454506848 is an equidigital number, since it uses as much as digits as its factorization.

28454506848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659298 (or 3659278 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 28454506848 in words is "twenty-eight billion, four hundred fifty-four million, five hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 3659273 7318546 10977819 14637092 21955638 29274184 32933457 43911276 58548368 65866914 87822552 98800371 117096736 131733828 175645104 197600742 263467656 296401113 351290208 395201484 526935312 592802226 790402968 889203339 1053870624 1185604452 1580805936 1778406678 2371208904 3161611872 3556813356 4742417808 7113626712 9484835616 14227253424 28454506848