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28228828080 = 24351374012141
BaseRepresentation
bin11010010010100100…
…011011101110110000
32200212022112001021010
4122102210123232300
5430303034444310
620545041430520
72016352036215
oct322244335660
980768461233
1028228828080
1110a7648a392
12557993b440
13287b45978b
14151b117b0c
15b033b7320
hex69291bbb0

28228828080 has 160 divisors (see below), whose sum is σ = 88409216448. Its totient is φ = 7450624000.

The previous prime is 28228828051. The next prime is 28228828081. The reversal of 28228828080 is 8082882282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28228828081) 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 31 ways as a sum of consecutive naturals, for example, 13183810 + ... + 13185950.

Almost surely, 228228828080 is an apocalyptic number.

28228828080 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 28228828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44204608224).

28228828080 is an abundant number, since it is smaller than the sum of its proper divisors (60180388368).

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

28228828080 is a wasteful number, since it uses less digits than its factorization.

28228828080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 28228828080 in words is "twenty-eight billion, two hundred twenty-eight million, eight hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 401 411 548 685 802 822 1096 1203 1370 1604 1644 2005 2055 2141 2192 2406 2740 3208 3288 4010 4110 4282 4812 5480 6015 6416 6423 6576 8020 8220 8564 9624 10705 10960 12030 12846 16040 16440 17128 19248 21410 24060 25692 32080 32115 32880 34256 42820 48120 51384 54937 64230 85640 96240 102768 109874 128460 164811 171280 219748 256920 274685 293317 329622 439496 513840 549370 586634 659244 824055 858541 878992 879951 1098740 1173268 1318488 1466585 1648110 1717082 1759902 2197480 2346536 2575623 2636976 2933170 3296220 3434164 3519804 4292705 4394960 4399755 4693072 5151246 5866340 6592440 6868328 7039608 8585410 8799510 10302492 11732680 12878115 13184880 13736656 14079216 17170820 17599020 20604984 23465360 25756230 34341640 35198040 41209968 51512460 68683280 70396080 103024920 117620117 206049840 235240234 352860351 470480468 588100585 705720702 940960936 1176201170 1411441404 1764301755 1881921872 2352402340 2822882808 3528603510 4704804680 5645765616 7057207020 9409609360 14114414040 28228828080