4127628 has 36 divisors (see below), whose sum is σ = 9999080. Its totient is φ = 1325184.

The previous prime is 4127621. The next prime is 4127633. The reversal of 4127628 is 8267214.

It is a junction number, because it is equal to n+sod(n) for n = 4127595 and 4127604.

It is not an unprimeable number, because it can be changed into a prime (4127621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9888 + ... + 10296.

Almost surely, 2^4127628 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 4127628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999540).

4127628 is an abundant number, since it is smaller than the sum of its proper divisors (5871452).

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

4127628 is a wasteful number, since it uses less digits than its factorization.

4127628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 443 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 4127628 is about 2031.6564670239. The cubic root of 4127628 is about 160.4107674523.

The spelling of 4127628 in words is "four million, one hundred twenty-seven thousand, six hundred twenty-eight".