127728633 has 16 divisors (see below), whose sum is σ = 180925056. Its totient is φ = 79875840.

The previous prime is 127728613. The next prime is 127728641. The reversal of 127728633 is 336827721.

It is not a de Polignac number, because 127728633 - 2¹⁰ = 127727609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127728591 and 127728600.

It is not an unprimeable number, because it can be changed into a prime (127728613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11835 + ... + 19887.

It is an arithmetic number, because the mean of its divisors is an integer number (11307816).

Almost surely, 2^127728633 is an apocalyptic number.

It is an amenable number.

127728633 is a deficient number, since it is larger than the sum of its proper divisors (53196423).

127728633 is a wasteful number, since it uses less digits than its factorization.

127728633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8384.

The product of its digits is 84672, while the sum is 39.

The square root of 127728633 is about 11301.7092955004. The cubic root of 127728633 is about 503.6120211071.

The spelling of 127728633 in words is "one hundred twenty-seven million, seven hundred twenty-eight thousand, six hundred thirty-three".