228321408 has 192 divisors, whose sum is σ = 724950720. Its totient is φ = 62361600.

The previous prime is 228321377. The next prime is 228321409. The reversal of 228321408 is 804123822.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×228321408² = 104261330702204928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228321409) 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 23 ways as a sum of consecutive naturals, for example, 2260558 + ... + 2260658.

It is an arithmetic number, because the mean of its divisors is an integer number (3775785).

Almost surely, 2^228321408 is an apocalyptic number.

228321408 is a gapful number since it is divisible by the number (28) 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 228321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362475360).

228321408 is an abundant number, since it is smaller than the sum of its proper divisors (496629312).

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

228321408 is a wasteful number, since it uses less digits than its factorization.

228321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 228321408 is about 15110.3080048025. The cubic root of 228321408 is about 611.1984037311.

The spelling of 228321408 in words is "two hundred twenty-eight million, three hundred twenty-one thousand, four hundred eight".