4127138028 has 96 divisors (see below), whose sum is σ = 11718604800. Its totient is φ = 1248340032.

The previous prime is 4127138017. The next prime is 4127138047. The reversal of 4127138028 is 8208317214.

4127138028 is a `hidden beast` number, since 4 + 1 + 271 + 380 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4127137983 and 4127138001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57925 + ... + 107747.

It is an arithmetic number, because the mean of its divisors is an integer number (122068800).

Almost surely, 2^4127138028 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 4127138028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859302400).

4127138028 is an abundant number, since it is smaller than the sum of its proper divisors (7591466772).

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

4127138028 is a wasteful number, since it uses less digits than its factorization.

4127138028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49908 (or 49900 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4127138028 is about 64242.8052625350. The cubic root of 4127138028 is about 1604.0441998960.

The spelling of 4127138028 in words is "four billion, one hundred twenty-seven million, one hundred thirty-eight thousand, twenty-eight".