10228080 has 80 divisors (see below), whose sum is σ = 33390720. Its totient is φ = 2582784.

The previous prime is 10228069. The next prime is 10228081. The reversal of 10228080 is 8082201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10228080² = 209227240972800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228081) 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, 3439 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (417384).

Almost surely, 2^10228080 is an apocalyptic number.

10228080 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 10228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695360).

10228080 is an abundant number, since it is smaller than the sum of its proper divisors (23162640).

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

10228080 is a wasteful number, since it uses less digits than its factorization.

10228080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10228080 is about 3198.1369576677. The cubic root of 10228080 is about 217.0691165649.

It can be divided in two parts, 102 and 28080, that added together give a palindrome (28182).

The spelling of 10228080 in words is "ten million, two hundred twenty-eight thousand, eighty".