428870502240 has 192 divisors, whose sum is σ = 1356952455936. Its totient is φ = 113857615872.

The previous prime is 428870502209. The next prime is 428870502253. The reversal of 428870502240 is 42205078824.

It is a junction number, because it is equal to n+sod(n) for n = 428870502192 and 428870502201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214113079 + ... + 214115081.

It is an arithmetic number, because the mean of its divisors is an integer number (7067460708).

Almost surely, 2^428870502240 is an apocalyptic number.

428870502240 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 428870502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678476227968).

428870502240 is an abundant number, since it is smaller than the sum of its proper divisors (928081953696).

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

428870502240 is a wasteful number, since it uses less digits than its factorization.

428870502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 428870502240 in words is "four hundred twenty-eight billion, eight hundred seventy million, five hundred two thousand, two hundred forty".