128278272 has 144 divisors (see below), whose sum is σ = 367920000. Its totient is φ = 39555072.

The previous prime is 128278259. The next prime is 128278273. The reversal of 128278272 is 272872821.

It is a self number, because there is not a number n which added to its sum of digits gives 128278272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128278273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860854 + ... + 861002.

It is an arithmetic number, because the mean of its divisors is an integer number (2555000).

Almost surely, 2^128278272 is an apocalyptic number.

128278272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183960000).

128278272 is an abundant number, since it is smaller than the sum of its proper divisors (239641728).

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

128278272 is a wasteful number, since it uses less digits than its factorization.

128278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 128278272 is about 11325.9998234151. Note that the first 3 decimals coincide. The cubic root of 128278272 is about 504.3333647373. Note that the first 4 decimals are identical.

The spelling of 128278272 in words is "one hundred twenty-eight million, two hundred seventy-eight thousand, two hundred seventy-two".