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BaseRepresentation
bin11111011100000000
320112122012
4133130000
513110033
62432052
71044263
oct373400
9215565
10128768
1188822
1262628
13467c3
1434cda
1528248
hex1f700

128768 has 18 divisors (see below), whose sum is σ = 257544. Its totient is φ = 64256.

The previous prime is 128767. The next prime is 128813. The reversal of 128768 is 867821.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2128768 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 128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128772).

128768 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

128768 is an frugal number, since it uses more digits than its factorization.

128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 128768 is about 358.8425838721. The cubic root of 128768 is about 50.4974347617.

The spelling of 128768 in words is "one hundred twenty-eight thousand, seven hundred sixty-eight".