128205088 has 72 divisors (see below), whose sum is σ = 285269040. Its totient is φ = 56246400.

The previous prime is 128205083. The next prime is 128205089. The reversal of 128205088 is 880502821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (128205083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338083 + ... + 338461.

It is an arithmetic number, because the mean of its divisors is an integer number (3962070).

Almost surely, 2^128205088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128205088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142634520).

128205088 is an abundant number, since it is smaller than the sum of its proper divisors (157063952).

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

128205088 is a wasteful number, since it uses less digits than its factorization.

128205088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 128205088 is about 11322.7685660354. The cubic root of 128205088 is about 504.2374374649.

The spelling of 128205088 in words is "one hundred twenty-eight million, two hundred five thousand, eighty-eight".