1134028800 has 432 divisors, whose sum is σ = 4277538720. Its totient is φ = 286556160.

The previous prime is 1134028787. The next prime is 1134028807. The reversal of 1134028800 is 88204311.

It is not an unprimeable number, because it can be changed into a prime (1134028807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10598347 + ... + 10598453.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2^1134028800 is an apocalyptic number.

1134028800 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 1134028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138769360).

1134028800 is an abundant number, since it is smaller than the sum of its proper divisors (3143509920).

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

1134028800 is a wasteful number, since it uses less digits than its factorization.

1134028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1134028800 is about 33675.3440962375. The cubic root of 1134028800 is about 1042.8168213954.

The spelling of 1134028800 in words is "one billion, one hundred thirty-four million, twenty-eight thousand, eight hundred".