628097536 has 80 divisors (see below), whose sum is σ = 1377858240. Its totient is φ = 283668480.

The previous prime is 628097473. The next prime is 628097537. The reversal of 628097536 is 635790826.

It is not an unprimeable number, because it can be changed into a prime (628097537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289485 + ... + 1289971.

It is an arithmetic number, because the mean of its divisors is an integer number (17223228).

Almost surely, 2^628097536 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 628097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688929120).

628097536 is an abundant number, since it is smaller than the sum of its proper divisors (749760704).

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

628097536 is a wasteful number, since it uses less digits than its factorization.

628097536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 628097536 is about 25061.8741517868. The cubic root of 628097536 is about 856.3981028843.

The spelling of 628097536 in words is "six hundred twenty-eight million, ninety-seven thousand, five hundred thirty-six".