127628928 has 384 divisors, whose sum is σ = 477360000. Its totient is φ = 32514048.

The previous prime is 127628927. The next prime is 127628939. The reversal of 127628928 is 829826721.

127628928 is a `hidden beast` number, since 12 + 7 + 628 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (193536) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (127628927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6717303 + ... + 6717321.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 2^127628928 is an apocalyptic number.

127628928 is a gapful number since it is divisible by the number (18) 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 127628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680000).

127628928 is an abundant number, since it is smaller than the sum of its proper divisors (349731072).

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

127628928 is a wasteful number, since it uses less digits than its factorization.

127628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 127628928 is about 11297.2973759214. The cubic root of 127628928 is about 503.4809471096.

The spelling of 127628928 in words is "one hundred twenty-seven million, six hundred twenty-eight thousand, nine hundred twenty-eight".