10128384 has 132 divisors (see below), whose sum is σ = 33636304. Its totient is φ = 2875392.

The previous prime is 10128347. The next prime is 10128403. The reversal of 10128384 is 48382101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64434 + ... + 64590.

Almost surely, 2^10128384 is an apocalyptic number.

10128384 is a gapful number since it is divisible by the number (14) 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 10128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16818152).

10128384 is an abundant number, since it is smaller than the sum of its proper divisors (23507920).

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

10128384 is a wasteful number, since it uses less digits than its factorization.

10128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10128384 is about 3182.5122152161. The cubic root of 10128384 is about 216.3615344543.

The spelling of 10128384 in words is "ten million, one hundred twenty-eight thousand, three hundred eighty-four".