428950545408 has 1584 divisors, whose sum is σ = 1735153011072. Its totient is φ = 98736537600.

The previous prime is 428950545383. The next prime is 428950545467. The reversal of 428950545408 is 804545059824.

428950545408 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 50 + 545 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 143 ways as a sum of consecutive naturals, for example, 11593257966 + ... + 11593258002.

Almost surely, 2^428950545408 is an apocalyptic number.

428950545408 is a gapful number since it is divisible by the number (48) 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 428950545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867576505536).

428950545408 is an abundant number, since it is smaller than the sum of its proper divisors (1306202465664).

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

428950545408 is a wasteful number, since it uses less digits than its factorization.

428950545408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 428950545408 in words is "four hundred twenty-eight billion, nine hundred fifty million, five hundred forty-five thousand, four hundred eight".