1688975928 has 128 divisors (see below), whose sum is σ = 4942080000. Its totient is φ = 533402496.

The previous prime is 1688975923. The next prime is 1688975929. The reversal of 1688975928 is 8295798861.

It is a happy number.

It is a super-2 number, since 2×1688975928² = 5705279370726922368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688975923) 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, 539953 + ... + 543071.

It is an arithmetic number, because the mean of its divisors is an integer number (38610000).

Almost surely, 2^1688975928 is an apocalyptic number.

1688975928 is a gapful number since it is divisible by the number (18) 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 1688975928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471040000).

1688975928 is an abundant number, since it is smaller than the sum of its proper divisors (3253104072).

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

1688975928 is a wasteful number, since it uses less digits than its factorization.

1688975928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3256 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 1688975928 is about 41097.1523101054. The cubic root of 1688975928 is about 1190.8977825972.

The spelling of 1688975928 in words is "one billion, six hundred eighty-eight million, nine hundred seventy-five thousand, nine hundred twenty-eight".