428565259200 has 672 divisors, whose sum is σ = 1564539863040. Its totient is φ = 102032179200.

The previous prime is 428565259183. The next prime is 428565259247. The reversal of 428565259200 is 2952565824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 428565259200.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 324916141 + ... + 324917459.

It is an arithmetic number, because the mean of its divisors is an integer number (2328184320).

Almost surely, 2^428565259200 is an apocalyptic number.

428565259200 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 428565259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782269931520).

428565259200 is an abundant number, since it is smaller than the sum of its proper divisors (1135974603840).

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

428565259200 is a wasteful number, since it uses less digits than its factorization.

428565259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 428565259200 in words is "four hundred twenty-eight billion, five hundred sixty-five million, two hundred fifty-nine thousand, two hundred".