628042016 has 72 divisors (see below), whose sum is σ = 1523000556. Its totient is φ = 253317120.

The previous prime is 628042013. The next prime is 628042043. The reversal of 628042016 is 610240826.

It can be written as a sum of positive squares in 2 ways, for example, as 628003600 + 38416 = 25060^2 + 196^2 .

It is a super-2 number, since 2×628042016² = 788873547722688512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 628042016.

It is not an unprimeable number, because it can be changed into a prime (628042013) 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 11 ways as a sum of consecutive naturals, for example, 14876 + ... + 38436.

Almost surely, 2^628042016 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 628042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761500278).

628042016 is an abundant number, since it is smaller than the sum of its proper divisors (894958540).

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

628042016 is a wasteful number, since it uses less digits than its factorization.

628042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23602 (or 23587 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 628042016 is about 25060.7664687256. The cubic root of 628042016 is about 856.3728686805.

The spelling of 628042016 in words is "six hundred twenty-eight million, forty-two thousand, sixteen".