11828035000 has 40 divisors (see below), whose sum is σ = 27713097720. Its totient is φ = 4731212000.

The previous prime is 11828034991. The next prime is 11828035031. The reversal of 11828035000 is 53082811.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11828035000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11828035000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1177804 + ... + 1187803.

It is an arithmetic number, because the mean of its divisors is an integer number (692827443).

Almost surely, 2^11828035000 is an apocalyptic number.

11828035000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11828035000 is an abundant number, since it is smaller than the sum of its proper divisors (15885062720).

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

11828035000 is an equidigital number, since it uses as much as digits as its factorization.

11828035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365633 (or 2365614 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 11828035000 in words is "eleven billion, eight hundred twenty-eight million, thirty-five thousand".