128288160 has 576 divisors, whose sum is σ = 594397440. Its totient is φ = 24330240.

The previous prime is 128288159. The next prime is 128288177. The reversal of 128288160 is 61882821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441396 + ... + 1441484.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^128288160 is an apocalyptic number.

128288160 is a gapful number since it is divisible by the number (10) 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 128288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

128288160 is an abundant number, since it is smaller than the sum of its proper divisors (466109280).

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

128288160 is a wasteful number, since it uses less digits than its factorization.

128288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 128288160 is about 11326.4363327571. The cubic root of 128288160 is about 504.3463228169.

The spelling of 128288160 in words is "one hundred twenty-eight million, two hundred eighty-eight thousand, one hundred sixty".