296224128 has 80 divisors (see below), whose sum is σ = 881589060. Its totient is φ = 98737920.

The previous prime is 296224121. The next prime is 296224157. The reversal of 296224128 is 821422692.

296224128 is a `hidden beast` number, since 2 + 9 + 622 + 4 + 1 + 28 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 296224092 and 296224101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296224121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3918 + ... + 24653.

Almost surely, 2^296224128 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 296224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440794530).

296224128 is an abundant number, since it is smaller than the sum of its proper divisors (585364932).

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

296224128 is an equidigital number, since it uses as much as digits as its factorization.

296224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28597 (or 28576 counting only the distinct ones).

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

The square root of 296224128 is about 17211.1628892414. The cubic root of 296224128 is about 666.6125360494.

The spelling of 296224128 in words is "two hundred ninety-six million, two hundred twenty-four thousand, one hundred twenty-eight".