10028320 has 48 divisors (see below), whose sum is σ = 23882040. Its totient is φ = 3979264.

The previous prime is 10028297. The next prime is 10028321. The reversal of 10028320 is 2382001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 6012304 = 2004^2 + 2452^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10028294 and 10028303.

It is not an unprimeable number, because it can be changed into a prime (10028321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37146 + ... + 37414.

Almost surely, 2^10028320 is an apocalyptic number.

10028320 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 10028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941020).

10028320 is an abundant number, since it is smaller than the sum of its proper divisors (13853720).

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

10028320 is a wasteful number, since it uses less digits than its factorization.

10028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10028320 is about 3166.7522795445. The cubic root of 10028320 is about 215.6466559500.

The spelling of 10028320 in words is "ten million, twenty-eight thousand, three hundred twenty".