428344785792000 has 6336 divisors, whose sum is σ = 2048074663864320. Its totient is φ = 87369891840000.

The previous prime is 428344785791827. The next prime is 428344785792041. The reversal of 428344785792000 is 297587443824.

It is a happy number.

428344785792000 is a `hidden beast` number, since 4 + 2 + 8 + 34 + 4 + 7 + 8 + 579 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1870501247886 + ... + 1870501248114.

Almost surely, 2^{428344785792000} is an apocalyptic number.

428344785792000 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 428344785792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024037331932160).

428344785792000 is an abundant number, since it is smaller than the sum of its proper divisors (1619729878072320).

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

428344785792000 is a wasteful number, since it uses less digits than its factorization.

428344785792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 428344785792000 in words is "four hundred twenty-eight trillion, three hundred forty-four billion, seven hundred eighty-five million, seven hundred ninety-two thousand".