10079328 has 96 divisors (see below), whose sum is σ = 30917376. Its totient is φ = 2815488.

The previous prime is 10079323. The next prime is 10079341. The reversal of 10079328 is 82397001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10079295 and 10079304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35475 + ... + 35757.

It is an arithmetic number, because the mean of its divisors is an integer number (322056).

Almost surely, 2^10079328 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 10079328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458688).

10079328 is an abundant number, since it is smaller than the sum of its proper divisors (20838048).

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

10079328 is a wasteful number, since it uses less digits than its factorization.

10079328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10079328 is about 3174.7957414612. The cubic root of 10079328 is about 216.0116591786.

The spelling of 10079328 in words is "ten million, seventy-nine thousand, three hundred twenty-eight".