127628400 has 60 divisors (see below), whose sum is σ = 408840152. Its totient is φ = 34033920.

The previous prime is 127628383. The next prime is 127628437. The reversal of 127628400 is 4826721.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51979 + ... + 54378.

Almost surely, 2^127628400 is an apocalyptic number.

127628400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127628400 is an abundant number, since it is smaller than the sum of its proper divisors (281211752).

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

127628400 is a wasteful number, since it uses less digits than its factorization.

127628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106378 (or 106367 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 127628400 is about 11297.2740074763. The cubic root of 127628400 is about 503.4802528096.

The spelling of 127628400 in words is "one hundred twenty-seven million, six hundred twenty-eight thousand, four hundred".