Search a number
-
+
28894068480 = 28358638719
BaseRepresentation
bin11010111010001110…
…000111111100000000
32202120200021202112110
4122322032013330000
5433133340142410
621135044055320
72042010346464
oct327216077400
982520252473
1028894068480
1111287a48342
125724694540
132956218654
1415816044a4
15b419c0720
hex6ba387f00

28894068480 has 144 divisors (see below), whose sum is σ = 92397957120. Its totient is φ = 7695273984.

The previous prime is 28894068449. The next prime is 28894068491. The reversal of 28894068480 is 8486049882.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28894068480.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3309561 + ... + 3318279.

It is an arithmetic number, because the mean of its divisors is an integer number (641652480).

Almost surely, 228894068480 is an apocalyptic number.

28894068480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28894068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46198978560).

28894068480 is an abundant number, since it is smaller than the sum of its proper divisors (63503888640).

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

28894068480 is an equidigital number, since it uses as much as digits as its factorization.

28894068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 28894068480 in words is "twenty-eight billion, eight hundred ninety-four million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 863 960 1280 1726 1920 2589 3452 3840 4315 5178 6904 8630 8719 10356 12945 13808 17260 17438 20712 25890 26157 27616 34520 34876 41424 43595 51780 52314 55232 69040 69752 82848 87190 103560 104628 110464 130785 138080 139504 165696 174380 207120 209256 220928 261570 276160 279008 331392 348760 414240 418512 523140 552320 558016 662784 697520 828480 837024 1046280 1104640 1116032 1395040 1656960 1674048 2092560 2232064 2790080 3313920 3348096 4185120 5580160 6696192 7524497 8370240 11160320 15048994 16740480 22573491 30097988 33480960 37622485 45146982 60195976 75244970 90293964 112867455 120391952 150489940 180587928 225734910 240783904 300979880 361175856 451469820 481567808 601959760 722351712 902939640 963135616 1203919520 1444703424 1805879280 1926271232 2407839040 2889406848 3611758560 4815678080 5778813696 7223517120 9631356160 14447034240 28894068480