127428 has 48 divisors (see below), whose sum is σ = 357504. Its totient is φ = 34560.

The previous prime is 127423. The next prime is 127447. The reversal of 127428 is 824721.

It is a junction number, because it is equal to n+sod(n) for n = 127398 and 127407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127423) 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, 3088 + ... + 3128.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

127428 is a Friedman number, since it can be written as 82*74*21, using all its digits and the basic arithmetic operations.

2¹²⁷⁴²⁸ 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 127428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178752).

127428 is an abundant number, since it is smaller than the sum of its proper divisors (230076).

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

127428 is a wasteful number, since it uses less digits than its factorization.

127428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 127428 is about 356.9705870236. The cubic root of 127428 is about 50.3216595980.

It can be divided in two parts, 127 and 428, that added together give a palindrome (555).

The spelling of 127428 in words is "one hundred twenty-seven thousand, four hundred twenty-eight".