1127364128 has 96 divisors (see below), whose sum is σ = 2490808320. Its totient is φ = 497952000.

The previous prime is 1127364127. The next prime is 1127364131. The reversal of 1127364128 is 8214637211.

It is not an unprimeable number, because it can be changed into a prime (1127364127) 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 15 ways as a sum of consecutive naturals, for example, 1974083 + ... + 1974653.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^1127364128 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 1127364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

1127364128 is an abundant number, since it is smaller than the sum of its proper divisors (1363444192).

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

1127364128 is a wasteful number, since it uses less digits than its factorization.

1127364128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 1127364128 is about 33576.2435063841. The cubic root of 1127364128 is about 1040.7699328212.

The spelling of 1127364128 in words is "one billion, one hundred twenty-seven million, three hundred sixty-four thousand, one hundred twenty-eight".