128032128 has 96 divisors (see below), whose sum is σ = 421084560. Its totient is φ = 36578304.

The previous prime is 128032097. The next prime is 128032141. The reversal of 128032128 is 821230821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126 + ... + 16002.

Almost surely, 2^128032128 is an apocalyptic number.

128032128 is a gapful number since it is divisible by the number (18) 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 128032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210542280).

128032128 is an abundant number, since it is smaller than the sum of its proper divisors (293052432).

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

128032128 is a wasteful number, since it uses less digits than its factorization.

128032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15904 (or 15889 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128032128 is about 11315.1282803157. The cubic root of 128032128 is about 504.0105817884.

Adding to 128032128 its reverse (821230821), we get a palindrome (949262949).

The spelling of 128032128 in words is "one hundred twenty-eight million, thirty-two thousand, one hundred twenty-eight".