1128268800 has 396 divisors, whose sum is σ = 4157702640. Its totient is φ = 292208640.

The previous prime is 1128268759. The next prime is 1128268831. The reversal of 1128268800 is 88628211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13593559 + ... + 13593641.

Almost surely, 2^1128268800 is an apocalyptic number.

1128268800 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 1128268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078851320).

1128268800 is an abundant number, since it is smaller than the sum of its proper divisors (3029433840).

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

1128268800 is a wasteful number, since it uses less digits than its factorization.

1128268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1128268800 is about 33589.7127108881. The cubic root of 1128268800 is about 1041.0482527387.

The spelling of 1128268800 in words is "one billion, one hundred twenty-eight million, two hundred sixty-eight thousand, eight hundred".