36828000000 has 1008 divisors, whose sum is σ = 153298037760. Its totient is φ = 8640000000.

The previous prime is 36827999977. The next prime is 36828000019. The reversal of 36828000000 is 82863.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1187999985 + ... + 1188000015.

Almost surely, 2^36828000000 is an apocalyptic number.

36828000000 is a gapful number since it is divisible by the number (30) 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 36828000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76649018880).

36828000000 is an abundant number, since it is smaller than the sum of its proper divisors (116470037760).

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

36828000000 is an frugal number, since it uses more digits than its factorization.

36828000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 36828000000 its reverse (82863), we get a palindrome (36828082863).

The spelling of 36828000000 in words is "thirty-six billion, eight hundred twenty-eight million", and thus it is an aban number.