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28288808540 = 22519413135801
BaseRepresentation
bin11010010110001001…
…001111011001011100
32201000111101100222122
4122112021033121130
5430413413333130
620555023202112
72021010622316
oct322611173134
981014340878
1028288808540
1110aa7327613
125595a46338
13288a9ca885
14152508c7b6
15b087b42e5
hex69624f65c

28288808540 has 96 divisors (see below), whose sum is σ = 64274091840. Its totient is φ = 10423296000.

The previous prime is 28288808473. The next prime is 28288808551. The reversal of 28288808540 is 4580888282.

It is a super-4 number, since 4×282888085404 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873640 + ... + 4879440.

It is an arithmetic number, because the mean of its divisors is an integer number (669521790).

Almost surely, 228288808540 is an apocalyptic number.

28288808540 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 28288808540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32137045920).

28288808540 is an abundant number, since it is smaller than the sum of its proper divisors (35985283300).

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

28288808540 is a wasteful number, since it uses less digits than its factorization.

28288808540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 53.

The spelling of 28288808540 in words is "twenty-eight billion, two hundred eighty-eight million, eight hundred eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 313 380 410 626 779 820 1252 1558 1565 3116 3130 3895 5801 5947 6260 7790 11602 11894 12833 15580 23204 23788 25666 29005 29735 51332 58010 59470 64165 110219 116020 118940 128330 220438 237841 243827 256660 440876 475682 487654 551095 951364 975308 1102190 1189205 1219135 1815713 2204380 2378410 2438270 3631426 4518979 4756820 4876540 7262852 9037958 9078565 18075916 18157130 22594895 34498547 36314260 45189790 68997094 74444233 90379580 137994188 148888466 172492735 297776932 344985470 372221165 689970940 744442330 1414440427 1488884660 2828880854 5657761708 7072202135 14144404270 28288808540