1905728472 has 224 divisors, whose sum is σ = 5640929280. Its totient is φ = 602562240.

The previous prime is 1905728459. The next prime is 1905728483. The reversal of 1905728472 is 2748275091.

It is a happy number.

1905728472 is a `hidden beast` number, since 1 + 9 + 0 + 572 + 8 + 4 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15005673 + ... + 15005799.

It is an arithmetic number, because the mean of its divisors is an integer number (25182720).

Almost surely, 2^1905728472 is an apocalyptic number.

1905728472 is a gapful number since it is divisible by the number (12) 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 1905728472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820464640).

1905728472 is an abundant number, since it is smaller than the sum of its proper divisors (3735200808).

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

1905728472 is a wasteful number, since it uses less digits than its factorization.

1905728472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1905728472 is about 43654.6500615914. The cubic root of 1905728472 is about 1239.8058298118.

The spelling of 1905728472 in words is "one billion, nine hundred five million, seven hundred twenty-eight thousand, four hundred seventy-two".