628448 has 24 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 305920.

The previous prime is 628447. The next prime is 628477. The reversal of 628448 is 844826.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1073 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁶²⁸⁴⁴⁸ 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 628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

628448 is an abundant number, since it is smaller than the sum of its proper divisors (641632).

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

628448 is a wasteful number, since it uses less digits than its factorization.

628448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 628448 is about 792.7471223537. The cubic root of 628448 is about 85.6557356759.

It can be divided in two parts, 62 and 8448, that multiplied together give a triangular number (523776 = T₁₀₂₃).

The spelling of 628448 in words is "six hundred twenty-eight thousand, four hundred forty-eight".