128296224 has 144 divisors (see below), whose sum is σ = 432589248. Its totient is φ = 36640512.

The previous prime is 128296213. The next prime is 128296243. The reversal of 128296224 is 422692821.

128296224 is a `hidden beast` number, since 1 + 2 + 8 + 29 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53254 + ... + 55610.

It is an arithmetic number, because the mean of its divisors is an integer number (3004092).

Almost surely, 2^128296224 is an apocalyptic number.

128296224 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 128296224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216294624).

128296224 is an abundant number, since it is smaller than the sum of its proper divisors (304293024).

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

128296224 is an equidigital number, since it uses as much as digits as its factorization.

128296224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2369 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 128296224 is about 11326.7923085046. The cubic root of 128296224 is about 504.3568900782.

The spelling of 128296224 in words is "one hundred twenty-eight million, two hundred ninety-six thousand, two hundred twenty-four".