63129128 has 8 divisors (see below), whose sum is σ = 118367130. Its totient is φ = 31564560.

The previous prime is 63129127. The next prime is 63129139. The reversal of 63129128 is 82192136.

It can be written as a sum of positive squares in only one way, i.e., 50154724 + 12974404 = 7082^2 + 3602^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 63129094 and 63129103.

It is not an unprimeable number, because it can be changed into a prime (63129127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3945563 + ... + 3945578.

Almost surely, 2^63129128 is an apocalyptic number.

It is an amenable number.

63129128 is a deficient number, since it is larger than the sum of its proper divisors (55238002).

63129128 is a wasteful number, since it uses less digits than its factorization.

63129128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891147 (or 7891143 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 63129128 is about 7945.3840687534. The cubic root of 63129128 is about 398.1773911897.

The spelling of 63129128 in words is "sixty-three million, one hundred twenty-nine thousand, one hundred twenty-eight".