128968224 has 192 divisors, whose sum is σ = 429649920. Its totient is φ = 32901120.

The previous prime is 128968157. The next prime is 128968241. The reversal of 128968224 is 422869821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539497 + ... + 539735.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2^128968224 is an apocalyptic number.

128968224 is a gapful number since it is divisible by the number (14) 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 128968224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824960).

128968224 is an abundant number, since it is smaller than the sum of its proper divisors (300681696).

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

128968224 is a wasteful number, since it uses less digits than its factorization.

128968224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 128968224 is about 11356.4177450462. The cubic root of 128968224 is about 505.2359437279.

The spelling of 128968224 in words is "one hundred twenty-eight million, nine hundred sixty-eight thousand, two hundred twenty-four".