1128691200 has 960 divisors, whose sum is σ = 5114672640. Its totient is φ = 212336640.

The previous prime is 1128691159. The next prime is 1128691243. The reversal of 1128691200 is 21968211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 59404791 + ... + 59404809.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^1128691200 is an apocalyptic number.

1128691200 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 1128691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557336320).

1128691200 is an abundant number, since it is smaller than the sum of its proper divisors (3985981440).

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

1128691200 is a wasteful number, since it uses less digits than its factorization.

1128691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1128691200 is about 33595.9997618764. Note that the first 3 decimals coincide. The cubic root of 1128691200 is about 1041.1781520196.

The spelling of 1128691200 in words is "one billion, one hundred twenty-eight million, six hundred ninety-one thousand, two hundred".