428649940800 has 1008 divisors, whose sum is σ = 1711771064640. Its totient is φ = 101098782720.

The previous prime is 428649940793. The next prime is 428649940811. The reversal of 428649940800 is 8049946824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 730238107 + ... + 730238693.

It is an arithmetic number, because the mean of its divisors is an integer number (1698185580).

Almost surely, 2^428649940800 is an apocalyptic number.

428649940800 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 428649940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855885532320).

428649940800 is an abundant number, since it is smaller than the sum of its proper divisors (1283121123840).

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

428649940800 is a wasteful number, since it uses less digits than its factorization.

428649940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 428649940800 in words is "four hundred twenty-eight billion, six hundred forty-nine million, nine hundred forty thousand, eight hundred".