128461128 has 48 divisors (see below), whose sum is σ = 338968080. Its totient is φ = 40563936.

The previous prime is 128461127. The next prime is 128461153. The reversal of 128461128 is 821164821.

It is a super-2 number, since 2×128461128² = 33004522814064768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128461127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1251 + ... + 16077.

It is an arithmetic number, because the mean of its divisors is an integer number (7061835).

Almost surely, 2^128461128 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 128461128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169484040).

128461128 is an abundant number, since it is smaller than the sum of its proper divisors (210506952).

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

128461128 is a wasteful number, since it uses less digits than its factorization.

128461128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14874 (or 14851 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 128461128 is about 11334.0693486497. The cubic root of 128461128 is about 504.5728872379.

The spelling of 128461128 in words is "one hundred twenty-eight million, four hundred sixty-one thousand, one hundred twenty-eight".