2268973728 has 192 divisors, whose sum is σ = 7620480000. Its totient is φ = 643375872.

The previous prime is 2268973649. The next prime is 2268973747. The reversal of 2268973728 is 8273798622.

2268973728 is a `hidden beast` number, since 2 + 268 + 9 + 7 + 372 + 8 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839323 + ... + 842021.

It is an arithmetic number, because the mean of its divisors is an integer number (39690000).

Almost surely, 2^2268973728 is an apocalyptic number.

2268973728 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 2268973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240000).

2268973728 is an abundant number, since it is smaller than the sum of its proper divisors (5351506272).

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

2268973728 is a wasteful number, since it uses less digits than its factorization.

2268973728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2850 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2268973728 is about 47633.7456851758. The cubic root of 2268973728 is about 1314.0437424191.

The spelling of 2268973728 in words is "two billion, two hundred sixty-eight million, nine hundred seventy-three thousand, seven hundred twenty-eight".