627273828 has 192 divisors, whose sum is σ = 1806336000. Its totient is φ = 187463808.

The previous prime is 627273821. The next prime is 627273833. The reversal of 627273828 is 828372726.

It is not an unprimeable number, because it can be changed into a prime (627273821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4939101 + ... + 4939227.

It is an arithmetic number, because the mean of its divisors is an integer number (9408000).

Almost surely, 2^627273828 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 627273828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903168000).

627273828 is an abundant number, since it is smaller than the sum of its proper divisors (1179062172).

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

627273828 is a wasteful number, since it uses less digits than its factorization.

627273828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 627273828 is about 25045.4352727199. The cubic root of 627273828 is about 856.0235694590.

The spelling of 627273828 in words is "six hundred twenty-seven million, two hundred seventy-three thousand, eight hundred twenty-eight".