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92128428 = 223473829
BaseRepresentation
bin1010111110111…
…00010010101100
320102100121110000
411133130102230
5142041102203
613050344300
72166036000
oct537342254
9212317400
1092128428
11480054a7
1226a2b090
1316118982
14c342700
15814c4a3
hex57dc4ac

92128428 has 120 divisors (see below), whose sum is σ = 281204000. Its totient is φ = 26290656.

The previous prime is 92128427. The next prime is 92128451. The reversal of 92128428 is 82482129.

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 = 92128392 and 92128401.

It is not an unprimeable number, because it can be changed into a prime (92128427) 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, 110718 + ... + 111546.

Almost surely, 292128428 is an apocalyptic number.

92128428 is a gapful number since it is divisible by the number (98) 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 92128428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140602000).

92128428 is an abundant number, since it is smaller than the sum of its proper divisors (189075572).

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

92128428 is a wasteful number, since it uses less digits than its factorization.

92128428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 841 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 92128428 is about 9598.3554841441. The cubic root of 92128428 is about 451.6457074343.

The spelling of 92128428 in words is "ninety-two million, one hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 441 567 588 686 756 829 882 1029 1134 1323 1372 1658 1764 2058 2268 2487 2646 3087 3316 3969 4116 4974 5292 5803 6174 7461 7938 9261 9948 11606 12348 14922 15876 17409 18522 22383 23212 27783 29844 34818 37044 40621 44766 52227 55566 67149 69636 81242 89532 104454 111132 121863 134298 156681 162484 208908 243726 268596 284347 313362 365589 470043 487452 568694 626724 731178 853041 940086 1096767 1137388 1462356 1706082 1880172 2193534 2559123 3290301 3412164 4387068 5118246 6580602 7677369 10236492 13161204 15354738 23032107 30709476 46064214 92128428