628038 has 48 divisors (see below), whose sum is σ = 1493856. Its totient is φ = 190080.

The previous prime is 628037. The next prime is 628049. The reversal of 628038 is 830826.

628038 is a `hidden beast` number, since 628 + 0 + 38 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15298 + ... + 15338.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2⁶²⁸⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928).

628038 is an abundant number, since it is smaller than the sum of its proper divisors (865818).

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

628038 is a wasteful number, since it uses less digits than its factorization.

628038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 628038 is about 792.4884857208. The cubic root of 628038 is about 85.6371043325.

It can be divided in two parts, 62 and 8038, that added together give a square (8100 = 90²).

The spelling of 628038 in words is "six hundred twenty-eight thousand, thirty-eight".