428425906708800 has 6720 divisors, whose sum is σ = 2179285291814400. Its totient is φ = 82028065996800.

The previous prime is 428425906708729. The next prime is 428425906708847. The reversal of 428425906708800 is 8807609524824.

428425906708800 is a `hidden beast` number, since 42 + 8 + 425 + 90 + 6 + 7 + 0 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 769166798122 + ... + 769166798678.

It is an arithmetic number, because the mean of its divisors is an integer number (324298406520).

Almost surely, 2^{428425906708800} is an apocalyptic number.

428425906708800 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 428425906708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089642645907200).

428425906708800 is an abundant number, since it is smaller than the sum of its proper divisors (1750859385105600).

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

428425906708800 is a wasteful number, since it uses less digits than its factorization.

428425906708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 598 counting only the distinct ones).

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

The spelling of 428425906708800 in words is "four hundred twenty-eight trillion, four hundred twenty-five billion, nine hundred six million, seven hundred eight thousand, eight hundred".