1128512000 has 320 divisors, whose sum is σ = 3523703040. Its totient is φ = 350208000.

The previous prime is 1128511999. The next prime is 1128512009. The reversal of 1128512000 is 2158211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128512009) 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 31 ways as a sum of consecutive naturals, for example, 4927886 + ... + 4928114.

It is an arithmetic number, because the mean of its divisors is an integer number (11011572).

Almost surely, 2^1128512000 is an apocalyptic number.

1128512000 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 1128512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761851520).

1128512000 is an abundant number, since it is smaller than the sum of its proper divisors (2395191040).

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

1128512000 is an equidigital number, since it uses as much as digits as its factorization.

1128512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 1128512000 is about 33593.3326718264. The cubic root of 1128512000 is about 1041.1230471925.

The spelling of 1128512000 in words is "one billion, one hundred twenty-eight million, five hundred twelve thousand".