1199828000 has 192 divisors, whose sum is σ = 3421087488. Its totient is φ = 405043200.

The previous prime is 1199827973. The next prime is 1199828029. The reversal of 1199828000 is 8289911.

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 31 ways as a sum of consecutive naturals, for example, 2043707 + ... + 2044293.

It is an arithmetic number, because the mean of its divisors is an integer number (17818164).

Almost surely, 2^1199828000 is an apocalyptic number.

1199828000 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 1199828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710543744).

1199828000 is an abundant number, since it is smaller than the sum of its proper divisors (2221259488).

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

1199828000 is an equidigital number, since it uses as much as digits as its factorization.

1199828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The square root of 1199828000 is about 34638.5334562536. The cubic root of 1199828000 is about 1062.6077952917.

The spelling of 1199828000 in words is "one billion, one hundred ninety-nine million, eight hundred twenty-eight thousand".