688328928 has 240 divisors, whose sum is σ = 2356421760. Its totient is φ = 193031424.

The previous prime is 688328911. The next prime is 688328957. The reversal of 688328928 is 829823886.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1070175 + ... + 1070817.

It is an arithmetic number, because the mean of its divisors is an integer number (9818424).

Almost surely, 2^688328928 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 688328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178210880).

688328928 is an abundant number, since it is smaller than the sum of its proper divisors (1668092832).

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

688328928 is a wasteful number, since it uses less digits than its factorization.

688328928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 714 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 688328928 is about 26236.0234791784. The cubic root of 688328928 is about 882.9416570724.

It can be divided in two parts, 68 and 8328928, that added together give a square (8328996 = 2886²).

The spelling of 688328928 in words is "six hundred eighty-eight million, three hundred twenty-eight thousand, nine hundred twenty-eight".