282332822400 has 960 divisors, whose sum is σ = 1102995653760. Its totient is φ = 71000064000.

The previous prime is 282332822399. The next prime is 282332822423. The reversal of 282332822400 is 4228233282.

282332822400 is a `hidden beast` number, since 2 + 8 + 2 + 332 + 82 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 329442772 + ... + 329443628.

It is an arithmetic number, because the mean of its divisors is an integer number (1148953806).

Almost surely, 2^282332822400 is an apocalyptic number.

282332822400 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 282332822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551497826880).

282332822400 is an abundant number, since it is smaller than the sum of its proper divisors (820662831360).

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

282332822400 is a wasteful number, since it uses less digits than its factorization.

282332822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 282332822400 in words is "two hundred eighty-two billion, three hundred thirty-two million, eight hundred twenty-two thousand, four hundred".