429342985728 has 200 divisors, whose sum is σ = 1337195070288. Its totient is φ = 136891662336.

The previous prime is 429342985727. The next prime is 429342985777. The reversal of 429342985728 is 827589243924.

429342985728 is a `hidden beast` number, since 4 + 2 + 9 + 34 + 29 + 8 + 572 + 8 = 666.

It is a super-3 number, since 3×429342985728³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429342985727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 728800 + ... + 1178912.

Almost surely, 2^429342985728 is an apocalyptic number.

429342985728 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 429342985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668597535144).

429342985728 is an abundant number, since it is smaller than the sum of its proper divisors (907852084560).

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

429342985728 is an equidigital number, since it uses as much as digits as its factorization.

429342985728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450166 (or 450141 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 429342985728 in words is "four hundred twenty-nine billion, three hundred forty-two million, nine hundred eighty-five thousand, seven hundred twenty-eight".