63128 has 16 divisors (see below), whose sum is σ = 127680. Its totient is φ = 29088.

The previous prime is 63127. The next prime is 63131. The reversal of 63128 is 82136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63127) 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, 200 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁶³¹²⁸ is an apocalyptic number.

It is an amenable number.

63128 is an abundant number, since it is smaller than the sum of its proper divisors (64552).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

63128 is a wasteful number, since it uses less digits than its factorization.

63128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 63128 is about 251.2528606802. The cubic root of 63128 is about 39.8175019613.

It can be divided in two parts, 63 and 128, that added together give a palindrome (191).

The spelling of 63128 in words is "sixty-three thousand, one hundred twenty-eight".