18800828352 has 196 divisors, whose sum is σ = 57453317656. Its totient is φ = 6097006080.

The previous prime is 18800828341. The next prime is 18800828357. The reversal of 18800828352 is 25382800881.

It is a super-2 number, since 2×18800828352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18800828298 and 18800828307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18800828357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1720827 + ... + 1731717.

Almost surely, 2^18800828352 is an apocalyptic number.

18800828352 is a gapful number since it is divisible by the number (12) 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 18800828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28726658828).

18800828352 is an abundant number, since it is smaller than the sum of its proper divisors (38652489304).

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

18800828352 is an equidigital number, since it uses as much as digits as its factorization.

18800828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10958 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 18800828352 in words is "eighteen billion, eight hundred million, eight hundred twenty-eight thousand, three hundred fifty-two".