Search a number
-
+
28424086656 = 273722347419
BaseRepresentation
bin11010011110001101…
…010010010010000000
32201100220221012200020
4122132031102102000
5431203031233111
621020254453440
72024242515210
oct323615222200
981326835606
1028424086656
1111066724009
125613204280
1328aca438b4
141539024240
15b155d6906
hex69e352480

28424086656 has 128 divisors (see below), whose sum is σ = 86676172800. Its totient is φ = 8084579328.

The previous prime is 28424086601. The next prime is 28424086657. The reversal of 28424086656 is 65668042482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 28424086599 and 28424086608.

It is not an unprimeable number, because it can be changed into a prime (28424086657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575715 + ... + 623133.

It is an arithmetic number, because the mean of its divisors is an integer number (677157600).

Almost surely, 228424086656 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 28424086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43338086400).

28424086656 is an abundant number, since it is smaller than the sum of its proper divisors (58252086144).

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

28424086656 is a wasteful number, since it uses less digits than its factorization.

28424086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47666 (or 47654 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 28424086656 in words is "twenty-eight billion, four hundred twenty-four million, eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 223 224 336 384 446 448 669 672 892 896 1338 1344 1561 1784 2676 2688 3122 3568 4683 5352 6244 7136 9366 10704 12488 14272 18732 21408 24976 28544 37464 42816 47419 49952 74928 85632 94838 99904 142257 149856 189676 199808 284514 299712 331933 379352 569028 599424 663866 758704 995799 1138056 1327732 1517408 1991598 2276112 2655464 3034816 3983196 4552224 5310928 6069632 7966392 9104448 10574437 10621856 15932784 18208896 21148874 21243712 31723311 31865568 42297748 42487424 63446622 63731136 74021059 84595496 126893244 127462272 148042118 169190992 222063177 253786488 296084236 338381984 444126354 507572976 592168472 676763968 888252708 1015145952 1184336944 1353527936 1776505416 2030291904 2368673888 3553010832 4060583808 4737347776 7106021664 9474695552 14212043328 28424086656