128635968 has 56 divisors (see below), whose sum is σ = 343907872. Its totient is φ = 42430464.

The previous prime is 128635961. The next prime is 128635993. The reversal of 128635968 is 869536821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (128635961) 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, 15171 + ... + 22077.

It is an arithmetic number, because the mean of its divisors is an integer number (6141212).

Almost surely, 2^128635968 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 128635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171953936).

128635968 is an abundant number, since it is smaller than the sum of its proper divisors (215271904).

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

128635968 is an equidigital number, since it uses as much as digits as its factorization.

128635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 7009 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 128635968 is about 11341.7797545182. The cubic root of 128635968 is about 504.8016971302.

The spelling of 128635968 in words is "one hundred twenty-eight million, six hundred thirty-five thousand, nine hundred sixty-eight".