628544 has 56 divisors (see below), whose sum is σ = 1511808. Its totient is φ = 253440.

The previous prime is 628499. The next prime is 628547. The reversal of 628544 is 445826.

628544 = T₉₉ + T₁₀₀ + ... + T₁₆₇.

It is a tau number, because it is divible by the number of its divisors (56).

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 (628547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10274 + ... + 10334.

2⁶²⁸⁵⁴⁴ is an apocalyptic number.

628544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755904).

628544 is an abundant number, since it is smaller than the sum of its proper divisors (883264).

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

628544 is a wasteful number, since it uses less digits than its factorization.

628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 628544 is about 792.8076689841. The cubic root of 628544 is about 85.6600969659.

The spelling of 628544 in words is "six hundred twenty-eight thousand, five hundred forty-four".