428648754240 has 504 divisors, whose sum is σ = 1754997678720. Its totient is φ = 95696971776.

The previous prime is 428648754227. The next prime is 428648754241. The reversal of 428648754240 is 42457846824.

It is a happy number.

428648754240 is a `hidden beast` number, since 4 + 2 + 86 + 487 + 5 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (428648754241) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6032841 + ... + 6103479.

Almost surely, 2^428648754240 is an apocalyptic number.

428648754240 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 428648754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877498839360).

428648754240 is an abundant number, since it is smaller than the sum of its proper divisors (1326348924480).

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

428648754240 is a wasteful number, since it uses less digits than its factorization.

428648754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70719 (or 70699 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 428648754240 in words is "four hundred twenty-eight billion, six hundred forty-eight million, seven hundred fifty-four thousand, two hundred forty".