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28129230480 = 24351365913681
BaseRepresentation
bin11010001100101000…
…011111111010010000
32200121101002222001010
4122030220133322100
5430102040333410
620531123010520
72014032341211
oct321450377220
980541088033
1028129230480
1110a2524321a
125550509a40
1328639271a0
14150bbcd408
15ae9791c20
hex68ca1fe90

28129230480 has 160 divisors (see below), whose sum is σ = 94057729920. Its totient is φ = 6913105920.

The previous prime is 28129230469. The next prime is 28129230497. The reversal of 28129230480 is 8403292182.

It is a super-2 number, since 2×281292304802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 2049240 + ... + 2062920.

It is an arithmetic number, because the mean of its divisors is an integer number (587860812).

Almost surely, 228129230480 is an apocalyptic number.

28129230480 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 28129230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47028864960).

28129230480 is an abundant number, since it is smaller than the sum of its proper divisors (65928499440).

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

28129230480 is a wasteful number, since it uses less digits than its factorization.

28129230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14369 (or 14363 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 28129230480 in words is "twenty-eight billion, one hundred twenty-nine million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 659 780 1040 1318 1560 1977 2636 3120 3295 3954 5272 6590 7908 8567 9885 10544 13180 13681 15816 17134 19770 25701 26360 27362 31632 34268 39540 41043 42835 51402 52720 54724 68405 68536 79080 82086 85670 102804 109448 128505 136810 137072 158160 164172 171340 177853 205215 205608 218896 257010 273620 328344 342680 355706 410430 411216 514020 533559 547240 656688 685360 711412 820860 889265 1028040 1067118 1094480 1422824 1641720 1778530 2056080 2134236 2667795 2845648 3283440 3557060 4268472 5335590 7114120 8536944 9015779 10671180 14228240 18031558 21342360 27047337 36063116 42684720 45078895 54094674 72126232 90157790 108189348 117205127 135236685 144252464 180315580 216378696 234410254 270473370 351615381 360631160 432757392 468820508 540946740 586025635 703230762 721262320 937641016 1081893480 1172051270 1406461524 1758076905 1875282032 2163786960 2344102540 2812923048 3516153810 4688205080 5625846096 7032307620 9376410160 14064615240 28129230480