10376128 has 112 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 3953664.

The previous prime is 10376123. The next prime is 10376131. The reversal of 10376128 is 82167301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10376096 and 10376105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10376123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195750 + ... + 195802.

Almost surely, 2^10376128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

10376128 is an abundant number, since it is smaller than the sum of its proper divisors (15958592).

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

10376128 is a wasteful number, since it uses less digits than its factorization.

10376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 10376128 is about 3221.1997764808. The cubic root of 10376128 is about 218.1114375686. Note that the first 3 decimals are identical.

The spelling of 10376128 in words is "ten million, three hundred seventy-six thousand, one hundred twenty-eight".