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28126431648 = 2532741340283
BaseRepresentation
bin11010001100011101…
…110100100110100000
32200121011211202202200
4122030131310212200
5430100331303043
620530543013200
72013666503310
oct321435644640
980534752680
1028126431648
1110a23701437
12554b59a200
132863187283
14150b6a1440
15ae93dc7d3
hex68c7749a0

28126431648 has 144 divisors (see below), whose sum is σ = 93640712256. Its totient is φ = 7840097280.

The previous prime is 28126431647. The next prime is 28126431649. The reversal of 28126431648 is 84613462182.

It is an interprime number because it is at equal distance from previous prime (28126431647) and next prime (28126431649).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28126431647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87486 + ... + 252797.

It is an arithmetic number, because the mean of its divisors is an integer number (650282724).

Almost surely, 228126431648 is an apocalyptic number.

28126431648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28126431648 is an abundant number, since it is smaller than the sum of its proper divisors (65514280608).

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

28126431648 is a wasteful number, since it uses less digits than its factorization.

28126431648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340347 (or 340336 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 28126431648 in words is "twenty-eight billion, one hundred twenty-six million, four hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 20664 27552 41328 82656 340283 680566 1020849 1361132 2041698 2381981 2722264 3062547 4083396 4763962 5444528 6125094 7145943 8166792 9527924 10889056 12250188 13951603 14291886 16333584 19055848 21437829 24500376 27903206 28583772 32667168 38111696 41854809 42875658 49000752 55806412 57167544 76223392 83709618 85751316 97661221 98001504 111612824 114335088 125564427 167419236 171502632 195322442 223225648 228670176 251128854 292983663 334838472 343005264 390644884 446451296 502257708 585967326 669676944 686010528 781289768 878950989 1004515416 1171934652 1339353888 1562579536 1757901978 2009030832 2343869304 3125159072 3515803956 4018061664 4687738608 7031607912 9375477216 14063215824 28126431648