228821292 has 144 divisors (see below), whose sum is σ = 722921472. Its totient is φ = 59512320.

The previous prime is 228821267. The next prime is 228821297. The reversal of 228821292 is 292128822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (228821297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131943 + ... + 133665.

It is an arithmetic number, because the mean of its divisors is an integer number (5020288).

Almost surely, 2^228821292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228821292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361460736).

228821292 is an abundant number, since it is smaller than the sum of its proper divisors (494100180).

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

228821292 is a wasteful number, since it uses less digits than its factorization.

228821292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1783 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 228821292 is about 15126.8401194698. The cubic root of 228821292 is about 611.6441286167.

The spelling of 228821292 in words is "two hundred twenty-eight million, eight hundred twenty-one thousand, two hundred ninety-two".