11628000000 has 756 divisors, whose sum is σ = 46707995880. Its totient is φ = 2764800000.

The previous prime is 11627999969. The next prime is 11628000053. The reversal of 11628000000 is 82611.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 611999991 + ... + 612000009.

Almost surely, 2^11628000000 is an apocalyptic number.

11628000000 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 11628000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353997940).

11628000000 is an abundant number, since it is smaller than the sum of its proper divisors (35079995880).

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

11628000000 is an frugal number, since it uses more digits than its factorization.

11628000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11628000000 its reverse (82611), we get a palindrome (11628082611).

The spelling of 11628000000 in words is "eleven billion, six hundred twenty-eight million", and thus it is an aban number.