628296 has 32 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 204608.

The previous prime is 628289. The next prime is 628301. The reversal of 628296 is 692826.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁶²⁸²⁹⁶ 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 628296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

628296 is an abundant number, since it is smaller than the sum of its proper divisors (978744).

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

628296 is a wasteful number, since it uses less digits than its factorization.

628296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 628296 is about 792.6512473970. The cubic root of 628296 is about 85.6488293916.

It can be divided in two parts, 62829 and 6, that added together give a triangular number (62835 = T₃₅₄).

The spelling of 628296 in words is "six hundred twenty-eight thousand, two hundred ninety-six".