223828080 has 160 divisors (see below), whose sum is σ = 809472000. Its totient is φ = 51141888.

The previous prime is 223828079. The next prime is 223828081. The reversal of 223828080 is 80828322.

223828080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223828079) and next prime (223828081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223828081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80961 + ... + 83679.

It is an arithmetic number, because the mean of its divisors is an integer number (5059200).

Almost surely, 2^223828080 is an apocalyptic number.

223828080 is a gapful number since it is divisible by the number (20) 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 223828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404736000).

223828080 is an abundant number, since it is smaller than the sum of its proper divisors (585643920).

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

223828080 is a wasteful number, since it uses less digits than its factorization.

223828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 223828080 is about 14960.8850005606. The cubic root of 223828080 is about 607.1623824731.

The spelling of 223828080 in words is "two hundred twenty-three million, eight hundred twenty-eight thousand, eighty".