428923220 has 54 divisors (see below), whose sum is σ = 992425518. Its totient is φ = 155601600.

The previous prime is 428923211. The next prime is 428923241. The reversal of 428923220 is 22329824.

It can be written as a sum of positive squares in 3 ways, for example, as 63425296 + 365497924 = 7964^2 + 19118^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1018610 + ... + 1019030.

Almost surely, 2^428923220 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 428923220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496212759).

428923220 is an abundant number, since it is smaller than the sum of its proper divisors (563502298).

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

428923220 is a wasteful number, since it uses less digits than its factorization.

428923220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 428923220 is about 20710.4616076031. The cubic root of 428923220 is about 754.1536764582.

The spelling of 428923220 in words is "four hundred twenty-eight million, nine hundred twenty-three thousand, two hundred twenty".