284428247040 has 1120 divisors, whose sum is σ = 1200443485824. Its totient is φ = 63063982080.

The previous prime is 284428247027. The next prime is 284428247093. The reversal of 284428247040 is 40742824482.

284428247040 is a `hidden beast` number, since 28 + 4 + 42 + 82 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 859299675 + ... + 859300005.

Almost surely, 2^284428247040 is an apocalyptic number.

284428247040 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 284428247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600221742912).

284428247040 is an abundant number, since it is smaller than the sum of its proper divisors (916015238784).

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

284428247040 is an equidigital number, since it uses as much as digits as its factorization.

284428247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 284428247040 in words is "two hundred eighty-four billion, four hundred twenty-eight million, two hundred forty-seven thousand, forty".