10228880 has 40 divisors (see below), whose sum is σ = 24607800. Its totient is φ = 3949568.

The previous prime is 10228877. The next prime is 10228901. The reversal of 10228880 is 8882201.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 10163344 = 256^2 + 3188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116 + ... + 4524.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 2^10228880 is an apocalyptic number.

10228880 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 10228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303900).

10228880 is an abundant number, since it is smaller than the sum of its proper divisors (14378920).

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

10228880 is a wasteful number, since it uses less digits than its factorization.

10228880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 10228880 is about 3198.2620280396. The cubic root of 10228880 is about 217.0747758469.

It can be divided in two parts, 102 and 28880, that added together give a palindrome (28982).

The spelling of 10228880 in words is "ten million, two hundred twenty-eight thousand, eight hundred eighty".