1147033728 has 96 divisors (see below), whose sum is σ = 3407289600. Its totient is φ = 369999360.

The previous prime is 1147033721. The next prime is 1147033739. The reversal of 1147033728 is 8273307411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1147033692 and 1147033701.

It is not an unprimeable number, because it can be changed into a prime (1147033721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19653 + ... + 51771.

It is an arithmetic number, because the mean of its divisors is an integer number (35492600).

Almost surely, 2^1147033728 is an apocalyptic number.

1147033728 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 1147033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703644800).

1147033728 is an abundant number, since it is smaller than the sum of its proper divisors (2260255872).

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

1147033728 is a wasteful number, since it uses less digits than its factorization.

1147033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32170 (or 32155 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1147033728 is about 33867.8863822353. The cubic root of 1147033728 is about 1046.7879856309.

The spelling of 1147033728 in words is "one billion, one hundred forty-seven million, thirty-three thousand, seven hundred twenty-eight".