628096 has 32 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 268800.

The previous prime is 628093. The next prime is 628097. The reversal of 628096 is 690826.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628093) 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 3 ways as a sum of consecutive naturals, for example, 546 + ... + 1246.

2⁶²⁸⁰⁹⁶ 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 628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

628096 is an abundant number, since it is smaller than the sum of its proper divisors (803984).

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

628096 is an equidigital number, since it uses as much as digits as its factorization.

628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 628096 is about 792.5250784676. The cubic root of 628096 is about 85.6397404782.

The spelling of 628096 in words is "six hundred twenty-eight thousand, ninety-six".