128657088 has 168 divisors, whose sum is σ = 446483232. Its totient is φ = 34578432.

The previous prime is 128657083. The next prime is 128657093. The reversal of 128657088 is 880756821.

It is an interprime number because it is at equal distance from previous prime (128657083) and next prime (128657093).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (128657083) 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, 67606 + ... + 69482.

Almost surely, 2^128657088 is an apocalyptic number.

128657088 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 128657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223241616).

128657088 is an abundant number, since it is smaller than the sum of its proper divisors (317826144).

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

128657088 is a wasteful number, since it uses less digits than its factorization.

128657088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 128657088 is about 11342.7107871090. The cubic root of 128657088 is about 504.8293224478.

The spelling of 128657088 in words is "one hundred twenty-eight million, six hundred fifty-seven thousand, eighty-eight".