228002880 has 336 divisors, whose sum is σ = 871459776. Its totient is φ = 50319360.

The previous prime is 228002839. The next prime is 228002881. The reversal of 228002880 is 88200822.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (228002881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740415 + ... + 1740545.

Almost surely, 2^228002880 is an apocalyptic number.

228002880 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 228002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435729888).

228002880 is an abundant number, since it is smaller than the sum of its proper divisors (643456896).

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

228002880 is a wasteful number, since it uses less digits than its factorization.

228002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 228002880 is about 15099.7642365701. The cubic root of 228002880 is about 610.9140466770.

The spelling of 228002880 in words is "two hundred twenty-eight million, two thousand, eight hundred eighty".