127028800 has 42 divisors (see below), whose sum is σ = 312574178. Its totient is φ = 50810880.

The previous prime is 127028791. The next prime is 127028801. The reversal of 127028800 is 8820721.

It can be written as a sum of positive squares in 3 ways, for example, as 13307904 + 113720896 = 3648^2 + 10664^2 .

It is a super-2 number, since 2×127028800² = 32272632058880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127028801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38097 + ... + 41296.

Almost surely, 2^127028800 is an apocalyptic number.

127028800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127028800 is an abundant number, since it is smaller than the sum of its proper divisors (185545378).

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

127028800 is an equidigital number, since it uses as much as digits as its factorization.

127028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79415 (or 79400 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 127028800 is about 11270.7053905246. The cubic root of 127028800 is about 502.6905624444.

The spelling of 127028800 in words is "one hundred twenty-seven million, twenty-eight thousand, eight hundred".