Search a number
-
+
28558373616 = 24322910763913
BaseRepresentation
bin11010100110001101…
…100011001011110000
32201201021121200202100
4122212031203023300
5431441420423431
621041453020400
72030463112323
oct324615431360
981637550670
1028558373616
1111125503873
125650184700
132901800736
14154cbbc7ba
15b222b04e6
hex6a63632f0

28558373616 has 120 divisors (see below), whose sum is σ = 83453788080. Its totient is φ = 9105159168.

The previous prime is 28558373611. The next prime is 28558373621. The reversal of 28558373616 is 61637385582.

28558373616 is a `hidden beast` number, since 2 + 8 + 558 + 3 + 73 + 6 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (28558373611) and next prime (28558373621).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28558373611) 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 23 ways as a sum of consecutive naturals, for example, 414876 + ... + 478788.

It is an arithmetic number, because the mean of its divisors is an integer number (695448234).

Almost surely, 228558373616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28558373616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41726894040).

28558373616 is an abundant number, since it is smaller than the sum of its proper divisors (54895414464).

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

28558373616 is a wasteful number, since it uses less digits than its factorization.

28558373616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64063 (or 64054 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 28558373616 in words is "twenty-eight billion, five hundred fifty-eight million, three hundred seventy-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 107 116 144 174 214 232 261 321 348 428 464 522 642 696 856 963 1044 1284 1392 1712 1926 2088 2568 3103 3852 4176 5136 6206 7704 9309 12412 15408 18618 24824 27927 37236 49648 55854 63913 74472 111708 127826 148944 191739 223416 255652 383478 446832 511304 575217 766956 1022608 1150434 1533912 1853477 2300868 3067824 3706954 4601736 5560431 6838691 7413908 9203472 11120862 13677382 14827816 16681293 20516073 22241724 27354764 29655632 33362586 41032146 44483448 54709528 61548219 66725172 82064292 88966896 109419056 123096438 133450344 164128584 198322039 246192876 266900688 328257168 396644078 492385752 594966117 793288156 984771504 1189932234 1586576312 1784898351 2379864468 3173152624 3569796702 4759728936 7139593404 9519457872 14279186808 28558373616