Search a number
-
+
28544041968 = 2431382155717
BaseRepresentation
bin11010100101010110…
…111000001111110000
32201200021122120102120
4122211112320033300
5431424233320333
621040221514240
72030230232151
oct324526701760
981607576376
1028544041968
1111118405232
125647412980
1328cb853380
14154ad2b928
15b20dcddb3
hex6a55b83f0

28544041968 has 80 divisors (see below), whose sum is σ = 79509140256. Its totient is φ = 8771927040.

The previous prime is 28544041951. The next prime is 28544041979. The reversal of 28544041968 is 86914044582.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28544041968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484446 + ... + 540162.

Almost surely, 228544041968 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 28544041968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39754570128).

28544041968 is an abundant number, since it is smaller than the sum of its proper divisors (50965098288).

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

28544041968 is a wasteful number, since it uses less digits than its factorization.

28544041968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56562 (or 56556 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 28544041968 in words is "twenty-eight billion, five hundred forty-four million, forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 821 1642 2463 3284 4926 6568 9852 10673 13136 19704 21346 32019 39408 42692 55717 64038 85384 111434 128076 167151 170768 222868 256152 334302 445736 512304 668604 724321 891472 1337208 1448642 2172963 2674416 2897284 4345926 5794568 8691852 11589136 17383704 34767408 45743657 91487314 137230971 182974628 274461942 365949256 548923884 594667541 731898512 1097847768 1189335082 1784002623 2195695536 2378670164 3568005246 4757340328 7136010492 9514680656 14272020984 28544041968