688028224 has 28 divisors (see below), whose sum is σ = 1470331324. Its totient is φ = 317551104.

The previous prime is 688028221. The next prime is 688028227. The reversal of 688028224 is 422820886.

It is an interprime number because it is at equal distance from previous prime (688028221) and next prime (688028227).

It can be written as a sum of positive squares in 2 ways, for example, as 457960000 + 230068224 = 21400^2 + 15168^2 .

It is not an unprimeable number, because it can be changed into a prime (688028221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412647 + ... + 414310.

It is an arithmetic number, because the mean of its divisors is an integer number (52511833).

Almost surely, 2^688028224 is an apocalyptic number.

688028224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

688028224 is an abundant number, since it is smaller than the sum of its proper divisors (782303100).

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

688028224 is a wasteful number, since it uses less digits than its factorization.

688028224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826982 (or 826972 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 688028224 is about 26230.2921066465. The cubic root of 688028224 is about 882.8130641137.

The spelling of 688028224 in words is "six hundred eighty-eight million, twenty-eight thousand, two hundred twenty-four".