128408064 has 80 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 41738240.

The previous prime is 128408047. The next prime is 128408069. The reversal of 128408064 is 460804821.

It is not an unprimeable number, because it can be changed into a prime (128408069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61957 + ... + 63995.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2^128408064 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 128408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

128408064 is an abundant number, since it is smaller than the sum of its proper divisors (222194496).

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

128408064 is an equidigital number, since it uses as much as digits as its factorization.

128408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 128408064 is about 11331.7282000585. The cubic root of 128408064 is about 504.5034022931.

The spelling of 128408064 in words is "one hundred twenty-eight million, four hundred eight thousand, sixty-four".