127428528 has 80 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 41422080.

The previous prime is 127428527. The next prime is 127428529. The reversal of 127428528 is 825824721.

It is an interprime number because it is at equal distance from previous prime (127428527) and next prime (127428529).

It is not an unprimeable number, because it can be changed into a prime (127428527) 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, 473578 + ... + 473846.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^127428528 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 127428528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

127428528 is an abundant number, since it is smaller than the sum of its proper divisors (210049872).

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

127428528 is a wasteful number, since it uses less digits than its factorization.

127428528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 127428528 is about 11288.4245136334. The cubic root of 127428528 is about 503.2172910077.

The spelling of 127428528 in words is "one hundred twenty-seven million, four hundred twenty-eight thousand, five hundred twenty-eight".