428109120 has 252 divisors, whose sum is σ = 1544801076. Its totient is φ = 108810240.

The previous prime is 428109091. The next prime is 428109169. The reversal of 428109120 is 21901824.

It can be written as a sum of positive squares in 2 ways, for example, as 222129216 + 205979904 = 14904^2 + 14352^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523380 + ... + 1523660.

It is an arithmetic number, because the mean of its divisors is an integer number (6130163).

Almost surely, 2^428109120 is an apocalyptic number.

428109120 is a gapful number since it is divisible by the number (40) 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 428109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772400538).

428109120 is an abundant number, since it is smaller than the sum of its proper divisors (1116691956).

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

428109120 is a wasteful number, since it uses less digits than its factorization.

428109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 428109120 is about 20690.7979546464. The cubic root of 428109120 is about 753.6762441960.

The spelling of 428109120 in words is "four hundred twenty-eight million, one hundred nine thousand, one hundred twenty".