127933938 has 64 divisors (see below), whose sum is σ = 318579840. Its totient is φ = 37713600.

The previous prime is 127933919. The next prime is 127933957. The reversal of 127933938 is 839339721.

It is an interprime number because it is at equal distance from previous prime (127933919) and next prime (127933957).

It is a junction number, because it is equal to n+sod(n) for n = 127933893 and 127933902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19068 + ... + 24888.

It is an arithmetic number, because the mean of its divisors is an integer number (4977810).

Almost surely, 2^127933938 is an apocalyptic number.

127933938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127933938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159289920).

127933938 is an abundant number, since it is smaller than the sum of its proper divisors (190645902).

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

127933938 is a wasteful number, since it uses less digits than its factorization.

127933938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5874 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 127933938 is about 11310.7885666739. The cubic root of 127933938 is about 503.8817040959.

The spelling of 127933938 in words is "one hundred twenty-seven million, nine hundred thirty-three thousand, nine hundred thirty-eight".