128310 has 64 divisors (see below), whose sum is σ = 387072. Its totient is φ = 26496.

The previous prime is 128291. The next prime is 128311. The reversal of 128310 is 13821.

It is a happy number.

It is a super-2 number, since 2×128310² = 32926912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 128310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2707 + ... + 2753.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2¹²⁸³¹⁰ is an apocalyptic number.

128310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

128310 is an abundant number, since it is smaller than the sum of its proper divisors (258762).

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

128310 is a wasteful number, since it uses less digits than its factorization.

128310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 128310 is about 358.2038525756. The cubic root of 128310 is about 50.4374941459.

The spelling of 128310 in words is "one hundred twenty-eight thousand, three hundred ten".