128964248 has 64 divisors (see below), whose sum is σ = 295814400. Its totient is φ = 51477120.

The previous prime is 128964239. The next prime is 128964271. The reversal of 128964248 is 842469821.

It is a junction number, because it is equal to n+sod(n) for n = 128964199 and 128964208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63911 + ... + 65897.

It is an arithmetic number, because the mean of its divisors is an integer number (4622100).

Almost surely, 2^128964248 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 128964248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147907200).

128964248 is an abundant number, since it is smaller than the sum of its proper divisors (166850152).

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

128964248 is a wasteful number, since it uses less digits than its factorization.

128964248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2076 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 128964248 is about 11356.2426884952. The cubic root of 128964248 is about 505.2307516512.

The spelling of 128964248 in words is "one hundred twenty-eight million, nine hundred sixty-four thousand, two hundred forty-eight".