1155728448 has 336 divisors, whose sum is σ = 3983110144. Its totient is φ = 313528320.

The previous prime is 1155728443. The next prime is 1155728461. The reversal of 1155728448 is 8448275511.

1155728448 is a `hidden beast` number, since 11 + 557 + 2 + 84 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1155728443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9100161 + ... + 9100287.

Almost surely, 2^1155728448 is an apocalyptic number.

1155728448 is a gapful number since it is divisible by the number (18) 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 1155728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991555072).

1155728448 is an abundant number, since it is smaller than the sum of its proper divisors (2827381696).

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

1155728448 is a wasteful number, since it uses less digits than its factorization.

1155728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 1155728448 is about 33996.0063536881. The cubic root of 1155728448 is about 1049.4262770495.

The spelling of 1155728448 in words is "one billion, one hundred fifty-five million, seven hundred twenty-eight thousand, four hundred forty-eight".