220408128 has 280 divisors, whose sum is σ = 720282024. Its totient is φ = 66355200.

The previous prime is 220408121. The next prime is 220408157. The reversal of 220408128 is 821804022.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 219988224 = 648^2 + 14832^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220408121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3613218 + ... + 3613278.

Almost surely, 2^220408128 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 220408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360141012).

220408128 is an abundant number, since it is smaller than the sum of its proper divisors (499873896).

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

220408128 is a wasteful number, since it uses less digits than its factorization.

220408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 220408128 is about 14846.1485914698. The cubic root of 220408128 is about 604.0541448179.

The spelling of 220408128 in words is "two hundred twenty million, four hundred eight thousand, one hundred twenty-eight".