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128043828 = 22341137971
BaseRepresentation
bin1111010000111…
…00101100110100
322220221022010000
413220130230310
5230234400303
620412231300
73113232423
oct750345464
9286838100
10128043828
1166306250
1236a6b530
13206b22a3
14130112ba
15b393da3
hex7a1cb34

128043828 has 120 divisors (see below), whose sum is σ = 375417504. Its totient is φ = 37713600.

The previous prime is 128043827. The next prime is 128043833. The reversal of 128043828 is 828340821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128043792 and 128043801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128043821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131383 + ... + 132353.

Almost surely, 2128043828 is an apocalyptic number.

128043828 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 128043828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187708752).

128043828 is an abundant number, since it is smaller than the sum of its proper divisors (247373676).

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

128043828 is a wasteful number, since it uses less digits than its factorization.

128043828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 128043828 is about 11315.6452754582. The cubic root of 128043828 is about 504.0259340397.

The spelling of 128043828 in words is "one hundred twenty-eight million, forty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 81 99 108 111 132 148 162 198 222 297 324 333 396 407 444 594 666 814 891 971 999 1188 1221 1332 1628 1782 1942 1998 2442 2913 2997 3564 3663 3884 3996 4884 5826 5994 7326 8739 10681 10989 11652 11988 14652 17478 21362 21978 26217 32043 32967 34956 35927 42724 43956 52434 64086 65934 71854 78651 96129 104868 107781 128172 131868 143708 157302 192258 215562 288387 314604 323343 384516 395197 431124 576774 646686 790394 865161 970029 1153548 1185591 1293372 1580788 1730322 1940058 2371182 2910087 3460644 3556773 3880116 4742364 5820174 7113546 10670319 11640348 14227092 21340638 32010957 42681276 64021914 128043828