1129128 has 128 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 264960.

The previous prime is 1129127. The next prime is 1129133. The reversal of 1129128 is 8219211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1129098 and 1129107.

It is not an unprimeable number, because it can be changed into a prime (1129127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24001 + ... + 24047.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2^1129128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1129128 is an abundant number, since it is smaller than the sum of its proper divisors (2741592).

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

1129128 is a wasteful number, since it uses less digits than its factorization.

1129128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The square root of 1129128 is about 1062.6043478172. The cubic root of 1129128 is about 104.1312445604.

Multiplying 1129128 by its sum of digits (24), we get a palindrome (27099072).

The spelling of 1129128 in words is "one million, one hundred twenty-nine thousand, one hundred twenty-eight".