10228320 has 72 divisors (see below), whose sum is σ = 34909056. Its totient is φ = 2727168.

The previous prime is 10228313. The next prime is 10228321. The reversal of 10228320 is 2382201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10228293 and 10228302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2112 + ... + 4991.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 2^10228320 is an apocalyptic number.

10228320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10228320 is an abundant number, since it is smaller than the sum of its proper divisors (24680736).

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

10228320 is a wasteful number, since it uses less digits than its factorization.

10228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7124 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10228320 is about 3198.1744792928. The cubic root of 10228320 is about 217.0708143805.

The spelling of 10228320 in words is "ten million, two hundred twenty-eight thousand, three hundred twenty".