128296 has 32 divisors (see below), whose sum is σ = 288000. Its totient is φ = 52416.

The previous prime is 128291. The next prime is 128311. The reversal of 128296 is 692821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

128296 is a modest number, since divided by 296 gives 128 as remainder.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (128291) by changing a digit.

128296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1585 + ... + 1663.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹²⁸²⁹⁶ 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 128296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144000).

128296 is an abundant number, since it is smaller than the sum of its proper divisors (159704).

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

128296 is a wasteful number, since it uses less digits than its factorization.

128296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 128296 is about 358.1843100975. The cubic root of 128296 is about 50.4356596549.

It can be divided in two parts, 1282 and 96, that added together give a triangular number (1378 = T₅₂).

The spelling of 128296 in words is "one hundred twenty-eight thousand, two hundred ninety-six".