Search a number
-
+
128428668 = 223261233251
BaseRepresentation
bin1111010011110…
…10101001111100
322221122212000100
413221322221330
5230334204133
620424401100
73116424414
oct751725174
9287585010
10128428668
11665493a5
1237016190
13207b84c4
14130b1644
15b41ce13
hex7a7aa7c

128428668 has 72 divisors (see below), whose sum is σ = 332697456. Its totient is φ = 41760000.

The previous prime is 128428667. The next prime is 128428717. The reversal of 128428668 is 866824821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128428661) 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 23 ways as a sum of consecutive naturals, for example, 511543 + ... + 511793.

It is an arithmetic number, because the mean of its divisors is an integer number (4620798).

Almost surely, 2128428668 is an apocalyptic number.

128428668 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 128428668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348728).

128428668 is an abundant number, since it is smaller than the sum of its proper divisors (204268788).

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

128428668 is a wasteful number, since it uses less digits than its factorization.

128428668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 128428668 is about 11332.6372923517. The cubic root of 128428668 is about 504.5303845865.

The spelling of 128428668 in words is "one hundred twenty-eight million, four hundred twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 233 244 251 366 466 502 549 699 732 753 932 1004 1098 1398 1506 2097 2196 2259 2796 3012 4194 4518 8388 9036 14213 15311 28426 30622 42639 45933 56852 58483 61244 85278 91866 116966 127917 137799 170556 175449 183732 233932 255834 275598 350898 511668 526347 551196 701796 1052694 2105388 3567463 7134926 10702389 14269852 21404778 32107167 42809556 64214334 128428668