284350128385428 has 144 divisors (see below), whose sum is σ = 902285686149120. Its totient is φ = 73620562796352.

The previous prime is 284350128385403. The next prime is 284350128385429. The reversal of 284350128385428 is 824583821053482.

284350128385428 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 5 + 0 + 1 + 2 + 83 + 8 + 542 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284350128385429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1290935100 + ... + 1291155347.

It is an arithmetic number, because the mean of its divisors is an integer number (6265872820480).

Almost surely, 2^{284350128385428} is an apocalyptic number.

284350128385428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

284350128385428 is an abundant number, since it is smaller than the sum of its proper divisors (617935557763692).

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

284350128385428 is a wasteful number, since it uses less digits than its factorization.

284350128385428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582090506 (or 2582090501 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 284350128385428 in words is "two hundred eighty-four trillion, three hundred fifty billion, one hundred twenty-eight million, three hundred eighty-five thousand, four hundred twenty-eight".