284525072832 has 896 divisors, whose sum is σ = 1061815910400. Its totient is φ = 64847462400.

The previous prime is 284525072831. The next prime is 284525072863. The reversal of 284525072832 is 238270525482.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284525072831) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 395722969 + ... + 395723687.

It is an arithmetic number, because the mean of its divisors is an integer number (1185062400).

Almost surely, 2^284525072832 is an apocalyptic number.

284525072832 is a gapful number since it is divisible by the number (22) 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 284525072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530907955200).

284525072832 is an abundant number, since it is smaller than the sum of its proper divisors (777290837568).

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

284525072832 is a wasteful number, since it uses less digits than its factorization.

284525072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 284525072832 in words is "two hundred eighty-four billion, five hundred twenty-five million, seventy-two thousand, eight hundred thirty-two".