128383038 has 144 divisors (see below), whose sum is σ = 349989120. Its totient is φ = 33802272.

The previous prime is 128383037. The next prime is 128383039. The reversal of 128383038 is 830383821.

It is an interprime number because it is at equal distance from previous prime (128383037) and next prime (128383039).

It is a super-2 number, since 2×128383038² = 32964408892218888, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 128382993 and 128383011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128383037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 787545 + ... + 787707.

It is an arithmetic number, because the mean of its divisors is an integer number (2430480).

Almost surely, 2^128383038 is an apocalyptic number.

128383038 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 128383038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174994560).

128383038 is an abundant number, since it is smaller than the sum of its proper divisors (221606082).

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

128383038 is a wasteful number, since it uses less digits than its factorization.

128383038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 128383038 is about 11330.6239016217. The cubic root of 128383038 is about 504.4706252175.

It can be divided in two parts, 12838 and 3038, that added together give a square (15876 = 126²).

The spelling of 128383038 in words is "one hundred twenty-eight million, three hundred eighty-three thousand, thirty-eight".