284794272000 has 1728 divisors, whose sum is σ = 1266527808000. Its totient is φ = 62995968000.

The previous prime is 284794271953. The next prime is 284794272023. The reversal of 284794272000 is 272497482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×284794272000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9186911985 + ... + 9186912015.

Almost surely, 2^284794272000 is an apocalyptic number.

284794272000 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 284794272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633263904000).

284794272000 is an abundant number, since it is smaller than the sum of its proper divisors (981733536000).

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

284794272000 is an frugal number, since it uses more digits than its factorization.

284794272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 284794272000 in words is "two hundred eighty-four billion, seven hundred ninety-four million, two hundred seventy-two thousand".