1134428400 has 540 divisors, whose sum is σ = 4699866600. Its totient is φ = 252564480.

The previous prime is 1134428381. The next prime is 1134428417. The reversal of 1134428400 is 48244311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10407546 + ... + 10407654.

Almost surely, 2^1134428400 is an apocalyptic number.

1134428400 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 1134428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349933300).

1134428400 is an abundant number, since it is smaller than the sum of its proper divisors (3565438200).

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

1134428400 is a wasteful number, since it uses less digits than its factorization.

1134428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1134428400 is about 33681.2766978926. The cubic root of 1134428400 is about 1042.9392934954.

The spelling of 1134428400 in words is "one billion, one hundred thirty-four million, four hundred twenty-eight thousand, four hundred".