1688328000 has 336 divisors, whose sum is σ = 6119530560. Its totient is φ = 444288000.

The previous prime is 1688327981. The next prime is 1688328001. The reversal of 1688328000 is 8238861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688328001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9431911 + ... + 9432089.

Almost surely, 2^1688328000 is an apocalyptic number.

1688328000 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 1688328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059765280).

1688328000 is an abundant number, since it is smaller than the sum of its proper divisors (4431202560).

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

1688328000 is a wasteful number, since it uses less digits than its factorization.

1688328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1688328000 is about 41089.2686720024. The cubic root of 1688328000 is about 1190.7454783328.

The spelling of 1688328000 in words is "one billion, six hundred eighty-eight million, three hundred twenty-eight thousand".