22028160 has 256 divisors, whose sum is σ = 88128000. Its totient is φ = 4546560.

The previous prime is 22028131. The next prime is 22028161. The reversal of 22028160 is 6182022.

22028160 = T₁₂₇ + T₁₂₈ + ... + T₅₁₁.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22028161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147766 + ... + 147914.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^22028160 is an apocalyptic number.

22028160 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 22028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

22028160 is an abundant number, since it is smaller than the sum of its proper divisors (66099840).

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

22028160 is a wasteful number, since it uses less digits than its factorization.

22028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 22028160 is about 4693.4166659269. The cubic root of 22028160 is about 280.3234357703.

The spelling of 22028160 in words is "twenty-two million, twenty-eight thousand, one hundred sixty".