283875379200 has 432 divisors, whose sum is σ = 1161906258240. Its totient is φ = 64885063680.

The previous prime is 283875379199. The next prime is 283875379237. The reversal of 283875379200 is 2973578382.

283875379200 is a `hidden beast` number, since 2 + 8 + 3 + 87 + 537 + 9 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3181597 + ... + 3269603.

It is an arithmetic number, because the mean of its divisors is an integer number (2689597820).

Almost surely, 2^283875379200 is an apocalyptic number.

283875379200 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 283875379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580953129120).

283875379200 is an abundant number, since it is smaller than the sum of its proper divisors (878030879040).

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

283875379200 is a wasteful number, since it uses less digits than its factorization.

283875379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88052 (or 88024 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 283875379200 in words is "two hundred eighty-three billion, eight hundred seventy-five million, three hundred seventy-nine thousand, two hundred".