1127952000 has 512 divisors, whose sum is σ = 4760870400. Its totient is φ = 257126400.

The previous prime is 1127951971. The next prime is 1127952011. The reversal of 1127952000 is 2597211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023814 + ... + 3024186.

It is an arithmetic number, because the mean of its divisors is an integer number (9298575).

Almost surely, 2^1127952000 is an apocalyptic number.

1127952000 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 1127952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380435200).

1127952000 is an abundant number, since it is smaller than the sum of its proper divisors (3632918400).

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

1127952000 is an equidigital number, since it uses as much as digits as its factorization.

1127952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1127952000 is about 33584.9966502901. The cubic root of 1127952000 is about 1040.9508070003.

The spelling of 1127952000 in words is "one billion, one hundred twenty-seven million, nine hundred fifty-two thousand".