687443328 has 384 divisors, whose sum is σ = 2419113600. Its totient is φ = 190494720.

The previous prime is 687443293. The next prime is 687443363. The reversal of 687443328 is 823344786.

It is an interprime number because it is at equal distance from previous prime (687443293) and next prime (687443363).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 6424651 + ... + 6424757.

It is an arithmetic number, because the mean of its divisors is an integer number (6299775).

Almost surely, 2^687443328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209556800).

687443328 is an abundant number, since it is smaller than the sum of its proper divisors (1731670272).

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

687443328 is a wasteful number, since it uses less digits than its factorization.

687443328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 687443328 is about 26219.1404893448. The cubic root of 687443328 is about 882.5628320256.

The spelling of 687443328 in words is "six hundred eighty-seven million, four hundred forty-three thousand, three hundred twenty-eight".