296947728 has 320 divisors, whose sum is σ = 1085644800. Its totient is φ = 75479040.

The previous prime is 296947727. The next prime is 296947769. The reversal of 296947728 is 827749692.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (296947727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627800 + ... + 2627912.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^296947728 is an apocalyptic number.

296947728 is a gapful number since it is divisible by the number (28) 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 296947728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542822400).

296947728 is an abundant number, since it is smaller than the sum of its proper divisors (788697072).

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

296947728 is a wasteful number, since it uses less digits than its factorization.

296947728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 296947728 is about 17232.1713083407. The cubic root of 296947728 is about 667.1548828246.

The spelling of 296947728 in words is "two hundred ninety-six million, nine hundred forty-seven thousand, seven hundred twenty-eight".