127428820 has 48 divisors (see below), whose sum is σ = 288590400. Its totient is φ = 47105280.

The previous prime is 127428811. The next prime is 127428863. The reversal of 127428820 is 28824721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11491 + ... + 19669.

It is an arithmetic number, because the mean of its divisors is an integer number (6012300).

Almost surely, 2^127428820 is an apocalyptic number.

127428820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127428820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144295200).

127428820 is an abundant number, since it is smaller than the sum of its proper divisors (161161580).

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

127428820 is a wasteful number, since it uses less digits than its factorization.

127428820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 127428820 is about 11288.4374472289. The cubic root of 127428820 is about 503.2176753783.

The spelling of 127428820 in words is "one hundred twenty-seven million, four hundred twenty-eight thousand, eight hundred twenty".