1129284000 has 576 divisors, whose sum is σ = 4579061760. Its totient is φ = 261273600.

The previous prime is 1129283999. The next prime is 1129284001. The reversal of 1129284000 is 4829211.

It is an interprime number because it is at equal distance from previous prime (1129283999) and next prime (1129284001).

It is not an unprimeable number, because it can be changed into a prime (1129284001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8891937 + ... + 8892063.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2^1129284000 is an apocalyptic number.

1129284000 is a gapful number since it is divisible by the number (10) 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 1129284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289530880).

1129284000 is an abundant number, since it is smaller than the sum of its proper divisors (3449777760).

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

1129284000 is a wasteful number, since it uses less digits than its factorization.

1129284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1129284000 is about 33604.8210826959. The cubic root of 1129284000 is about 1041.3603992055.

The spelling of 1129284000 in words is "one billion, one hundred twenty-nine million, two hundred eighty-four thousand".