4220928 has 72 divisors (see below), whose sum is σ = 12244050. Its totient is φ = 1400832.

The previous prime is 4220927. The next prime is 4220939. The reversal of 4220928 is 8290224.

It can be written as a sum of positive squares in only one way, i.e., 2663424 + 1557504 = 1632^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4220927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18318 + ... + 18546.

Almost surely, 2^4220928 is an apocalyptic number.

4220928 is a gapful number since it is divisible by the number (48) 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 4220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122025).

4220928 is an abundant number, since it is smaller than the sum of its proper divisors (8023122).

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

4220928 is a wasteful number, since it uses less digits than its factorization.

4220928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4220928 is about 2054.4897176671. The cubic root of 4220928 is about 161.6104035390.

The spelling of 4220928 in words is "four million, two hundred twenty thousand, nine hundred twenty-eight".