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28380357192 = 2331117321881
BaseRepresentation
bin11010011011100110…
…011110001001001000
32201020212122112010110
4122123212132021020
5431110332412232
621012053314320
72023202025105
oct323346361110
981225575113
1028380357192
1111043a76460
1256006359a0
1328a3972685
1415332bdaac
15b11849acc
hex69b99e248

28380357192 has 128 divisors (see below), whose sum is σ = 82241308800. Its totient is φ = 8093849600.

The previous prime is 28380357191. The next prime is 28380357221. The reversal of 28380357192 is 29175308382.

It is a happy number.

It is a super-2 number, since 2×283803571922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28380357191) 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, 1286092 + ... + 1307972.

It is an arithmetic number, because the mean of its divisors is an integer number (642510225).

Almost surely, 228380357192 is an apocalyptic number.

28380357192 is a gapful number since it is divisible by the number (22) 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 28380357192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41120654400).

28380357192 is an abundant number, since it is smaller than the sum of its proper divisors (53860951608).

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

28380357192 is a wasteful number, since it uses less digits than its factorization.

28380357192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21952 (or 21914 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 28380357192 in words is "twenty-eight billion, three hundred eighty million, three hundred fifty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 289 374 408 561 578 748 867 1122 1156 1496 1734 2244 2312 3179 3468 4488 4913 6358 6936 9537 9826 12716 14739 19074 19652 21881 25432 29478 38148 39304 43762 54043 58956 65643 76296 87524 108086 117912 131286 162129 175048 216172 240691 262572 324258 371977 432344 481382 525144 648516 722073 743954 962764 1115931 1297032 1444146 1487908 1925528 2231862 2888292 2975816 4091747 4463724 5776584 6323609 8183494 8927448 12275241 12647218 16366988 18970827 24550482 25294436 32733976 37941654 49100964 50588872 69559699 75883308 98201928 107501353 139119398 151766616 208679097 215002706 278238796 322504059 417358194 430005412 556477592 645008118 834716388 860010824 1182514883 1290016236 1669432776 2365029766 2580032472 3547544649 4730059532 7095089298 9460119064 14190178596 28380357192