128349738 has 64 divisors (see below), whose sum is σ = 313200000. Its totient is φ = 38638080.

The previous prime is 128349733. The next prime is 128349743. The reversal of 128349738 is 837943821.

128349738 is a `hidden beast` number, since 128 + 3 + 497 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (128349733) and next prime (128349743).

It is a junction number, because it is equal to n+sod(n) for n = 128349693 and 128349702.

It is not an unprimeable number, because it can be changed into a prime (128349733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102138 + ... + 103386.

It is an arithmetic number, because the mean of its divisors is an integer number (4893750).

Almost surely, 2^128349738 is an apocalyptic number.

128349738 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 128349738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156600000).

128349738 is an abundant number, since it is smaller than the sum of its proper divisors (184850262).

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

128349738 is a wasteful number, since it uses less digits than its factorization.

128349738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1438 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 128349738 is about 11329.1543373722. The cubic root of 128349738 is about 504.4270049057.

It can be divided in two parts, 128 and 349738, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 128349738 in words is "one hundred twenty-eight million, three hundred forty-nine thousand, seven hundred thirty-eight".