627728 has 10 divisors (see below), whose sum is σ = 1216254. Its totient is φ = 313856.

The previous prime is 627721. The next prime is 627733. The reversal of 627728 is 827726.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 258064 = 608^2 + 508^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 627694 and 627703.

It is not an unprimeable number, because it can be changed into a prime (627721) by changing a digit.

627728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19601 + ... + 19632.

2⁶²⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

627728 is a deficient number, since it is larger than the sum of its proper divisors (588526).

627728 is a wasteful number, since it uses less digits than its factorization.

627728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39241 (or 39235 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 627728 is about 792.2928751415. The cubic root of 627728 is about 85.6230118351.

Adding to 627728 its sum of digits (32), we get a triangular number (627760 = T₁₁₂₀).

The spelling of 627728 in words is "six hundred twenty-seven thousand, seven hundred twenty-eight".