143828827200 has 336 divisors, whose sum is σ = 538485852160. Its totient is φ = 37317335040.

The previous prime is 143828827193. The next prime is 143828827201. The reversal of 143828827200 is 2728828341.

143828827200 is a `hidden beast` number, since 1 + 438 + 2 + 8 + 8 + 2 + 7 + 200 = 666.

143828827200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×143828827200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (143828827201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1553409 + ... + 1643391.

Almost surely, 2^143828827200 is an apocalyptic number.

143828827200 is a gapful number since it is divisible by the number (10) 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 143828827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269242926080).

143828827200 is an abundant number, since it is smaller than the sum of its proper divisors (394657024960).

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

143828827200 is a wasteful number, since it uses less digits than its factorization.

143828827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90051 (or 90030 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 143828827200 in words is "one hundred forty-three billion, eight hundred twenty-eight million, eight hundred twenty-seven thousand, two hundred".