628848 has 60 divisors (see below), whose sum is σ = 1924728. Its totient is φ = 190080.

The previous prime is 628841. The next prime is 628861. The reversal of 628848 is 848826.

It is a Cunningham number, because it is equal to 793²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1386 + ... + 1782.

2⁶²⁸⁸⁴⁸ 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 628848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962364).

628848 is an abundant number, since it is smaller than the sum of its proper divisors (1295880).

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

628848 is a wasteful number, since it uses less digits than its factorization.

628848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 628848 is about 792.9993694827. Note that the first 3 decimals coincide. The cubic root of 628848 is about 85.6739047886.

It can be divided in two parts, 6288 and 48, that added together give a palindrome (6336).

The spelling of 628848 in words is "six hundred twenty-eight thousand, eight hundred forty-eight".