428200344000 has 1120 divisors, whose sum is σ = 1861456588992. Its totient is φ = 95800320000.

The previous prime is 428200343881. The next prime is 428200344041. The reversal of 428200344000 is 443002824.

It is a happy number.

428200344000 is a `hidden beast` number, since 4 + 28 + 200 + 34 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92661690 + ... + 92666310.

Almost surely, 2^428200344000 is an apocalyptic number.

428200344000 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 428200344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930728294496).

428200344000 is an abundant number, since it is smaller than the sum of its proper divisors (1433256244992).

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

428200344000 is a wasteful number, since it uses less digits than its factorization.

428200344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 428200344000 its reverse (443002824), we get a palindrome (428643346824).

The spelling of 428200344000 in words is "four hundred twenty-eight billion, two hundred million, three hundred forty-four thousand".