428578824960 has 1296 divisors, whose sum is σ = 1786517826912. Its totient is φ = 94206689280.

The previous prime is 428578824899. The next prime is 428578825001. The reversal of 428578824960 is 69428875824.

428578824960 is a `hidden beast` number, since 428 + 5 + 78 + 82 + 4 + 9 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1214104144 + ... + 1214104496.

Almost surely, 2^428578824960 is an apocalyptic number.

428578824960 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 428578824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893258913456).

428578824960 is an abundant number, since it is smaller than the sum of its proper divisors (1357939001952).

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

428578824960 is a wasteful number, since it uses less digits than its factorization.

428578824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 428578824960 in words is "four hundred twenty-eight billion, five hundred seventy-eight million, eight hundred twenty-four thousand, nine hundred sixty".