10128320 has 56 divisors (see below), whose sum is σ = 24920448. Its totient is φ = 3916800.

The previous prime is 10128319. The next prime is 10128341. The reversal of 10128320 is 2382101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9410 + ... + 10430.

It is an arithmetic number, because the mean of its divisors is an integer number (445008).

Almost surely, 2^10128320 is an apocalyptic number.

10128320 is a gapful number since it is divisible by the number (10) 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 10128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12460224).

10128320 is an abundant number, since it is smaller than the sum of its proper divisors (14792128).

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

10128320 is a wasteful number, since it uses less digits than its factorization.

10128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10128320 is about 3182.5021602506. The cubic root of 10128320 is about 216.3610787328.

The spelling of 10128320 in words is "ten million, one hundred twenty-eight thousand, three hundred twenty".