284867228160 has 480 divisors, whose sum is σ = 1040026059072. Its totient is φ = 74709319680.

The previous prime is 284867228159. The next prime is 284867228179. The reversal of 284867228160 is 61822768482.

284867228160 is a `hidden beast` number, since 2 + 8 + 486 + 7 + 22 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×284867228160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 284867228097 and 284867228106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37943127 + ... + 37950633.

Almost surely, 2^284867228160 is an apocalyptic number.

284867228160 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 284867228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520013029536).

284867228160 is an abundant number, since it is smaller than the sum of its proper divisors (755158830912).

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

284867228160 is an frugal number, since it uses more digits than its factorization.

284867228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 284867228160 in words is "two hundred eighty-four billion, eight hundred sixty-seven million, two hundred twenty-eight thousand, one hundred sixty".