128382080 has 32 divisors (see below), whose sum is σ = 306914940. Its totient is φ = 51352576.

The previous prime is 128382077. The next prime is 128382083. The reversal of 128382080 is 80283821.

It is an interprime number because it is at equal distance from previous prime (128382077) and next prime (128382083).

It can be written as a sum of positive squares in 2 ways, for example, as 121705024 + 6677056 = 11032^2 + 2584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (128382083) 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 3 ways as a sum of consecutive naturals, for example, 99659 + ... + 100938.

Almost surely, 2^128382080 is an apocalyptic number.

128382080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128382080 is an abundant number, since it is smaller than the sum of its proper divisors (178532860).

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

128382080 is an equidigital number, since it uses as much as digits as its factorization.

128382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200616 (or 200604 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 128382080 is about 11330.5816267304. The cubic root of 128382080 is about 504.4693704202.

The spelling of 128382080 in words is "one hundred twenty-eight million, three hundred eighty-two thousand, eighty".