628016272 has 80 divisors (see below), whose sum is σ = 1386300160. Its totient is φ = 273217536.

The previous prime is 628016231. The next prime is 628016273. The reversal of 628016272 is 272610826.

It is a super-5 number, since 5×628016272⁵ (a number of 45 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (628016273) 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 15 ways as a sum of consecutive naturals, for example, 1450168 + ... + 1450600.

It is an arithmetic number, because the mean of its divisors is an integer number (17328752).

Almost surely, 2^628016272 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 628016272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693150080).

628016272 is an abundant number, since it is smaller than the sum of its proper divisors (758283888).

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

628016272 is a wasteful number, since it uses less digits than its factorization.

628016272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 628016272 is about 25060.2528319249. The cubic root of 628016272 is about 856.3611673591.

The spelling of 628016272 in words is "six hundred twenty-eight million, sixteen thousand, two hundred seventy-two".