127028700 has 216 divisors, whose sum is σ = 427889280. Its totient is φ = 31449600.

The previous prime is 127028689. The next prime is 127028723. The reversal of 127028700 is 7820721.

It is a super-2 number, since 2×127028700² = 32272581247380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 809022 + ... + 809178.

Almost surely, 2^127028700 is an apocalyptic number.

127028700 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 127028700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213944640).

127028700 is an abundant number, since it is smaller than the sum of its proper divisors (300860580).

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

127028700 is a wasteful number, since it uses less digits than its factorization.

127028700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 127028700 is about 11270.7009542442. The cubic root of 127028700 is about 502.6904305345.

The spelling of 127028700 in words is "one hundred twenty-seven million, twenty-eight thousand, seven hundred".