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128432328 = 23337612371
BaseRepresentation
bin1111010011110…
…11100011001000
322221200001000220
413221323203020
5230334313303
620424430040
73116441163
oct751734310
9287601026
10128432328
1166551122
1237018320
13207ba07b
14130b2ada
15b41e053
hex7a7b8c8

128432328 has 64 divisors (see below), whose sum is σ = 335305920. Its totient is φ = 40953600.

The previous prime is 128432327. The next prime is 128432333. The reversal of 128432328 is 823234821.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (128432327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52983 + ... + 55353.

It is an arithmetic number, because the mean of its divisors is an integer number (5239155).

Almost surely, 2128432328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128432328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167652960).

128432328 is an abundant number, since it is smaller than the sum of its proper divisors (206873592).

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

128432328 is a wasteful number, since it uses less digits than its factorization.

128432328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2474 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 128432328 is about 11332.7987717068. The cubic root of 128432328 is about 504.5351772954.

The spelling of 128432328 in words is "one hundred twenty-eight million, four hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 366 444 488 732 888 1464 2257 2371 4514 4742 6771 7113 9028 9484 13542 14226 18056 18968 27084 28452 54168 56904 87727 144631 175454 263181 289262 350908 433893 526362 578524 701816 867786 1052724 1157048 1735572 2105448 3471144 5351347 10702694 16054041 21405388 32108082 42810776 64216164 128432328