128348712 has 96 divisors (see below), whose sum is σ = 364553280. Its totient is φ = 42301440.

The previous prime is 128348683. The next prime is 128348713. The reversal of 128348712 is 217843821.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128348713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199912 + ... + 200552.

It is an arithmetic number, because the mean of its divisors is an integer number (3797430).

Almost surely, 2^128348712 is an apocalyptic number.

128348712 is a gapful number since it is divisible by the number (12) 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 128348712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182276640).

128348712 is an abundant number, since it is smaller than the sum of its proper divisors (236204568).

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

128348712 is a wasteful number, since it uses less digits than its factorization.

128348712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 128348712 is about 11329.1090558790. The cubic root of 128348712 is about 504.4256608087.

The spelling of 128348712 in words is "one hundred twenty-eight million, three hundred forty-eight thousand, seven hundred twelve".