1127048832 has 288 divisors, whose sum is σ = 4018416480. Its totient is φ = 296884224.

The previous prime is 1127048831. The next prime is 1127048833. The reversal of 1127048832 is 2388407211.

It is an interprime number because it is at equal distance from previous prime (1127048831) and next prime (1127048833).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1127048831) 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, 1362403 + ... + 1363229.

It is an arithmetic number, because the mean of its divisors is an integer number (13952835).

Almost surely, 2^1127048832 is an apocalyptic number.

1127048832 is a gapful number since it is divisible by the number (12) 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 1127048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009208240).

1127048832 is an abundant number, since it is smaller than the sum of its proper divisors (2891367648).

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

1127048832 is a wasteful number, since it uses less digits than its factorization.

1127048832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1127048832 is about 33571.5479535871. The cubic root of 1127048832 is about 1040.6728978630.

The spelling of 1127048832 in words is "one billion, one hundred twenty-seven million, forty-eight thousand, eight hundred thirty-two".