28143763200 has 864 divisors, whose sum is σ = 120442291200. Its totient is φ = 6297108480.

The previous prime is 28143763181. The next prime is 28143763223. The reversal of 28143763200 is 236734182.

It is a happy number.

28143763200 is a `hidden beast` number, since 2 + 8 + 14 + 3 + 7 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64108581 + ... + 64109019.

It is an arithmetic number, because the mean of its divisors is an integer number (139400800).

Almost surely, 2^28143763200 is an apocalyptic number.

28143763200 is a gapful number since it is divisible by the number (20) 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 28143763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60221145600).

28143763200 is an abundant number, since it is smaller than the sum of its proper divisors (92298528000).

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

28143763200 is a wasteful number, since it uses less digits than its factorization.

28143763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 28143763200 in words is "twenty-eight billion, one hundred forty-three million, seven hundred sixty-three thousand, two hundred".