128380032 has 192 divisors, whose sum is σ = 417832800. Its totient is φ = 38776320.

The previous prime is 128380027. The next prime is 128380037. The reversal of 128380032 is 230083821.

It is an interprime number because it is at equal distance from previous prime (128380027) and next prime (128380037).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 128379978 and 128380005.

It is not an unprimeable number, because it can be changed into a prime (128380037) 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, 418023 + ... + 418329.

Almost surely, 2^128380032 is an apocalyptic number.

128380032 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 128380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208916400).

128380032 is an abundant number, since it is smaller than the sum of its proper divisors (289452768).

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

128380032 is a wasteful number, since it uses less digits than its factorization.

128380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 128380032 is about 11330.4912514860. The cubic root of 128380032 is about 504.4666879099.

The spelling of 128380032 in words is "one hundred twenty-eight million, three hundred eighty thousand, thirty-two".