10348128 has 192 divisors, whose sum is σ = 36288000. Its totient is φ = 2806272.

The previous prime is 10348111. The next prime is 10348153. The reversal of 10348128 is 82184301.

10348128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 175363 + ... + 175421.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^10348128 is an apocalyptic number.

10348128 is a gapful number since it is divisible by the number (18) 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 10348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

10348128 is an abundant number, since it is smaller than the sum of its proper divisors (25939872).

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

10348128 is a wasteful number, since it uses less digits than its factorization.

10348128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

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

The square root of 10348128 is about 3216.8506337721. The cubic root of 10348128 is about 217.9150694609.

The spelling of 10348128 in words is "ten million, three hundred forty-eight thousand, one hundred twenty-eight".