284972664928 has 192 divisors, whose sum is σ = 698181120000. Its totient is φ = 114112115712.

The previous prime is 284972664901. The next prime is 284972664959. The reversal of 284972664928 is 829466279482.

It is a super-2 number, since 2×284972664928² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15214353 + ... + 15233071.

It is an arithmetic number, because the mean of its divisors is an integer number (3636360000).

Almost surely, 2^284972664928 is an apocalyptic number.

284972664928 is a gapful number since it is divisible by the number (28) 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 284972664928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560000).

284972664928 is an abundant number, since it is smaller than the sum of its proper divisors (413208455072).

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

284972664928 is a wasteful number, since it uses less digits than its factorization.

284972664928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18842 (or 18820 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 67.

The spelling of 284972664928 in words is "two hundred eighty-four billion, nine hundred seventy-two million, six hundred sixty-four thousand, nine hundred twenty-eight".