688728152 has 16 divisors (see below), whose sum is σ = 1475846160. Its totient is φ = 295169184.

The previous prime is 688728151. The next prime is 688728179. The reversal of 688728152 is 251827886.

It is a junction number, because it is equal to n+sod(n) for n = 688728097 and 688728106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688728151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6149303 + ... + 6149414.

It is an arithmetic number, because the mean of its divisors is an integer number (92240385).

Almost surely, 2^688728152 is an apocalyptic number.

It is an amenable number.

688728152 is an abundant number, since it is smaller than the sum of its proper divisors (787118008).

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

688728152 is a wasteful number, since it uses less digits than its factorization.

688728152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298730 (or 12298726 counting only the distinct ones).

The product of its digits is 430080, while the sum is 47.

The square root of 688728152 is about 26243.6306939417. The cubic root of 688728152 is about 883.1123232372.

The spelling of 688728152 in words is "six hundred eighty-eight million, seven hundred twenty-eight thousand, one hundred fifty-two".