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128042028 = 223217231397
BaseRepresentation
bin1111010000111…
…00010000101100
322220221012122100
413220130100230
5230234321103
620412215100
73113224242
oct750342054
9286835570
10128042028
1166304964
1236a6a490
13206b151a
1413010792
15b3935a3
hex7a1c42c

128042028 has 108 divisors (see below), whose sum is σ = 355805632. Its totient is φ = 38776320.

The previous prime is 128042027. The next prime is 128042029. The reversal of 128042028 is 820240821.

It is an interprime number because it is at equal distance from previous prime (128042027) and next prime (128042029).

It is a junction number, because it is equal to n+sod(n) for n = 128041992 and 128042010.

It is not an unprimeable number, because it can be changed into a prime (128042021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 322326 + ... + 322722.

Almost surely, 2128042028 is an apocalyptic number.

128042028 is a gapful number since it is divisible by the number (18) 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 128042028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177902816).

128042028 is an abundant number, since it is smaller than the sum of its proper divisors (227763604).

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

128042028 is a wasteful number, since it uses less digits than its factorization.

128042028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 128042028 is about 11315.5657392814. The cubic root of 128042028 is about 504.0235722157.

Adding to 128042028 its reverse (820240821), we get a palindrome (948282849).

The spelling of 128042028 in words is "one hundred twenty-eight million, forty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 289 306 372 397 527 558 578 612 794 867 1054 1116 1156 1191 1581 1588 1734 2108 2382 2601 3162 3468 3573 4743 4764 5202 6324 6749 7146 8959 9486 10404 12307 13498 14292 17918 18972 20247 24614 26877 26996 35836 36921 40494 49228 53754 60741 73842 80631 80988 107508 110763 114733 121482 147684 161262 209219 221526 229466 242964 322524 344199 418438 443052 458932 627657 688398 836876 1032597 1255314 1376796 1882971 2065194 2510628 3556723 3765942 4130388 7113446 7531884 10670169 14226892 21340338 32010507 42680676 64021014 128042028