128128392 has 160 divisors (see below), whose sum is σ = 419569920. Its totient is φ = 35769600.

The previous prime is 128128391. The next prime is 128128397. The reversal of 128128392 is 293821821.

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

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

It is not an unprimeable number, because it can be changed into a prime (128128391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212892 + ... + 213492.

It is an arithmetic number, because the mean of its divisors is an integer number (2622312).

Almost surely, 2^128128392 is an apocalyptic number.

128128392 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 128128392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209784960).

128128392 is an abundant number, since it is smaller than the sum of its proper divisors (291441528).

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

128128392 is a wasteful number, since it uses less digits than its factorization.

128128392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 128128392 is about 11319.3812551747. The cubic root of 128128392 is about 504.1368675904.

The spelling of 128128392 in words is "one hundred twenty-eight million, one hundred twenty-eight thousand, three hundred ninety-two".