128314928 has 80 divisors (see below), whose sum is σ = 294028800. Its totient is φ = 54218304.

The previous prime is 128314919. The next prime is 128314933. The reversal of 128314928 is 829413821.

It is a junction number, because it is equal to n+sod(n) for n = 128314891 and 128314900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565151 + ... + 565377.

It is an arithmetic number, because the mean of its divisors is an integer number (3675360).

Almost surely, 2^128314928 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 128314928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147014400).

128314928 is an abundant number, since it is smaller than the sum of its proper divisors (165713872).

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

128314928 is a wasteful number, since it uses less digits than its factorization.

128314928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 128314928 is about 11327.6179314099. The cubic root of 128314928 is about 504.3813985493.

The spelling of 128314928 in words is "one hundred twenty-eight million, three hundred fourteen thousand, nine hundred twenty-eight".