428525940480 has 288 divisors, whose sum is σ = 1506252706560. Its totient is φ = 102964592640.

The previous prime is 428525940439. The next prime is 428525940481. The reversal of 428525940480 is 84049525824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428525940481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4728231 + ... + 4818009.

It is an arithmetic number, because the mean of its divisors is an integer number (5230044120).

Almost surely, 2^428525940480 is an apocalyptic number.

428525940480 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 428525940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753126353280).

428525940480 is an abundant number, since it is smaller than the sum of its proper divisors (1077726766080).

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

428525940480 is a wasteful number, since it uses less digits than its factorization.

428525940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89927 (or 89913 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 428525940480 in words is "four hundred twenty-eight billion, five hundred twenty-five million, nine hundred forty thousand, four hundred eighty".