428945520 has 160 divisors (see below), whose sum is σ = 1414195200. Its totient is φ = 107246592.

The previous prime is 428945519. The next prime is 428945527. The reversal of 428945520 is 25549824.

It is a Cunningham number, because it is equal to 20711²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428945527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 496609 + ... + 497471.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^428945520 is an apocalyptic number.

428945520 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 428945520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707097600).

428945520 is an abundant number, since it is smaller than the sum of its proper divisors (985249680).

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

428945520 is a wasteful number, since it uses less digits than its factorization.

428945520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 428945520 is about 20710.9999758582. Note that the first 4 decimals coincide. The cubic root of 428945520 is about 754.1667458801.

The spelling of 428945520 in words is "four hundred twenty-eight million, nine hundred forty-five thousand, five hundred twenty".