1153448928 has 72 divisors (see below), whose sum is σ = 3288999168. Its totient is φ = 383442432.

The previous prime is 1153448897. The next prime is 1153448953. The reversal of 1153448928 is 8298443511.

1153448928 is a `hidden beast` number, since 11 + 534 + 4 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105076 + ... + 115532.

It is an arithmetic number, because the mean of its divisors is an integer number (45680544).

Almost surely, 2^1153448928 is an apocalyptic number.

1153448928 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 1153448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644499584).

1153448928 is an abundant number, since it is smaller than the sum of its proper divisors (2135550240).

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

1153448928 is a wasteful number, since it uses less digits than its factorization.

1153448928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10856 (or 10845 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1153448928 is about 33962.4635148865. The cubic root of 1153448928 is about 1048.7358718843.

The spelling of 1153448928 in words is "one billion, one hundred fifty-three million, four hundred forty-eight thousand, nine hundred twenty-eight".