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128466828 = 223272193833
BaseRepresentation
bin1111010100000…
…11111110001100
322221201210100200
413222003332030
5230341414303
620425253500
73116643600
oct752037614
9287653320
10128466828
1166575036
1237034290
13207cc999
14130c1500
15b4293a3
hex7a83f8c

128466828 has 108 divisors (see below), whose sum is σ = 397739160. Its totient is φ = 34763904.

The previous prime is 128466803. The next prime is 128466829. The reversal of 128466828 is 828664821.

It is not an unprimeable number, because it can be changed into a prime (128466829) 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, 31600 + ... + 35432.

It is an arithmetic number, because the mean of its divisors is an integer number (3682770).

Almost surely, 2128466828 is an apocalyptic number.

128466828 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 128466828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198869580).

128466828 is an abundant number, since it is smaller than the sum of its proper divisors (269272332).

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

128466828 is a wasteful number, since it uses less digits than its factorization.

128466828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3864 counting only the distinct ones).

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

The square root of 128466828 is about 11334.3208001185. The cubic root of 128466828 is about 504.5803499959.

The spelling of 128466828 in words is "one hundred twenty-eight million, four hundred sixty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 3833 4788 5586 7666 8379 11172 11499 15332 16758 22998 26831 33516 34497 45996 53662 68994 72827 80493 107324 137988 145654 160986 187817 218481 241479 291308 321972 375634 436962 482958 509789 563451 655443 751268 873924 965916 1019578 1126902 1310886 1529367 1690353 2039156 2253804 2621772 3058734 3380706 3568523 4588101 6117468 6761412 7137046 9176202 10705569 14274092 18352404 21411138 32116707 42822276 64233414 128466828