628368 has 80 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 179712.

The previous prime is 628363. The next prime is 628373. The reversal of 628368 is 863826.

It is an interprime number because it is at equal distance from previous prime (628363) and next prime (628373).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13824) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (628363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11830 + ... + 11882.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁶²⁸³⁶⁸ 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 628368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

628368 is an abundant number, since it is smaller than the sum of its proper divisors (1246512).

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

628368 is a wasteful number, since it uses less digits than its factorization.

628368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 628368 is about 792.6966632956. The cubic root of 628368 is about 85.6521009283.

The spelling of 628368 in words is "six hundred twenty-eight thousand, three hundred sixty-eight".