1688358828 has 96 divisors (see below), whose sum is σ = 4415488000. Its totient is φ = 498597120.

The previous prime is 1688358827. The next prime is 1688358853. The reversal of 1688358828 is 8288538861.

It is not an unprimeable number, because it can be changed into a prime (1688358823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612798 + ... + 615546.

Almost surely, 2^1688358828 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 1688358828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207744000).

1688358828 is an abundant number, since it is smaller than the sum of its proper divisors (2727129172).

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

1688358828 is a wasteful number, since it uses less digits than its factorization.

1688358828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2925 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 57.

The square root of 1688358828 is about 41089.6438047350. The cubic root of 1688358828 is about 1190.7527257551.

The spelling of 1688358828 in words is "one billion, six hundred eighty-eight million, three hundred fifty-eight thousand, eight hundred twenty-eight".