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28230763428 = 22327316175857
BaseRepresentation
bin11010010010101011…
…110100001110100100
32200212110011101001200
4122102223310032210
5430304033412203
620545151122500
72016404346510
oct322253641644
980773141050
1028230763428
1110a7759144a
12557a513430
13287b98665a
14151b49d140
15b0364a9a3
hex692af43a4

28230763428 has 144 divisors (see below), whose sum is σ = 84337204224. Its totient is φ = 7791759360.

The previous prime is 28230763423. The next prime is 28230763453. The reversal of 28230763428 is 82436703282.

28230763428 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 0 + 7 + 634 + 2 + 8 = 666.

It is a super-2 number, since 2×282307634282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28230763423) 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 47 ways as a sum of consecutive naturals, for example, 4817076 + ... + 4822932.

Almost surely, 228230763428 is an apocalyptic number.

28230763428 is a gapful number since it is divisible by the number (28) 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 28230763428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42168602112).

28230763428 is an abundant number, since it is smaller than the sum of its proper divisors (56106440796).

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

28230763428 is a wasteful number, since it uses less digits than its factorization.

28230763428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 28230763428 in words is "twenty-eight billion, two hundred thirty million, seven hundred sixty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 617 651 868 1116 1234 1302 1851 1953 2468 2604 3702 3906 4319 5553 5857 7404 7812 8638 11106 11714 12957 17276 17571 19127 22212 23428 25914 35142 38254 38871 40999 51828 52713 57381 70284 76508 77742 81998 105426 114762 122997 133889 155484 163996 172143 181567 210852 229524 245994 267778 344286 363134 368991 401667 491988 535556 544701 688572 726268 737982 803334 1089402 1205001 1270969 1475964 1606668 1634103 2178804 2410002 2541938 3268206 3613769 3812907 4820004 5083876 6536412 7227538 7625814 10841307 11438721 14455076 15251628 21682614 22877442 25296383 32523921 43365228 45754884 50592766 65047842 75889149 101185532 112026839 130095684 151778298 224053678 227667447 303556596 336080517 448107356 455334894 672161034 784187873 910669788 1008241551 1344322068 1568375746 2016483102 2352563619 3136751492 4032966204 4705127238 7057690857 9410254476 14115381714 28230763428