428054950384800 has 144 divisors (see below), whose sum is σ = 1399403227148640. Its totient is φ = 113649523799040.

The previous prime is 428054950384759. The next prime is 428054950384871. The reversal of 428054950384800 is 8483059450824.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388874482 + ... + 389973681.

It is an arithmetic number, because the mean of its divisors is an integer number (9718077966310).

Almost surely, 2^{428054950384800} is an apocalyptic number.

428054950384800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428054950384800 is an abundant number, since it is smaller than the sum of its proper divisors (971348276763840).

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

428054950384800 is a wasteful number, since it uses less digits than its factorization.

428054950384800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778848415 (or 778848402 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 428054950384800 in words is "four hundred twenty-eight trillion, fifty-four billion, nine hundred fifty million, three hundred eighty-four thousand, eight hundred".