228839040 has 512 divisors, whose sum is σ = 925344000. Its totient is φ = 53084160.

The previous prime is 228839027. The next prime is 228839047. The reversal of 228839040 is 40938822.

228839040 is a `hidden beast` number, since 228 + 8 + 390 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 228838986 and 228839004.

It is not an unprimeable number, because it can be changed into a prime (228839047) 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 63 ways as a sum of consecutive naturals, for example, 5581420 + ... + 5581460.

Almost surely, 2^228839040 is an apocalyptic number.

228839040 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 228839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

228839040 is an abundant number, since it is smaller than the sum of its proper divisors (696504960).

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

228839040 is a wasteful number, since it uses less digits than its factorization.

228839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228839040 is about 15127.4267474677. The cubic root of 228839040 is about 611.6599418004.

It can be divided in two parts, 2288 and 39040, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 228839040 in words is "two hundred twenty-eight million, eight hundred thirty-nine thousand, forty".