10329280 has 84 divisors (see below), whose sum is σ = 26773632. Its totient is φ = 3793920.

The previous prime is 10329271. The next prime is 10329283. The reversal of 10329280 is 8292301.

It is not an unprimeable number, because it can be changed into a prime (10329283) 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 11 ways as a sum of consecutive naturals, for example, 53985 + ... + 54175.

Almost surely, 2^10329280 is an apocalyptic number.

10329280 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 10329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386816).

10329280 is an abundant number, since it is smaller than the sum of its proper divisors (16444352).

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

10329280 is a wasteful number, since it uses less digits than its factorization.

10329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10329280 is about 3213.9197251954. The cubic root of 10329280 is about 217.7826861158.

It can be divided in two parts, 10329 and 280, that added together give a square (10609 = 103²).

The spelling of 10329280 in words is "ten million, three hundred twenty-nine thousand, two hundred eighty".