284638428090 has 96 divisors (see below), whose sum is σ = 798865441920. Its totient is φ = 70099843968.

The previous prime is 284638428089. The next prime is 284638428091. The reversal of 284638428090 is 90824836482.

284638428090 is a `hidden beast` number, since 28 + 463 + 84 + 2 + 80 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (284638428089) and next prime (284638428091).

It is a super-2 number, since 2×284638428090² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (284638428091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2310772 + ... + 2430831.

It is an arithmetic number, because the mean of its divisors is an integer number (8321515020).

Almost surely, 2^284638428090 is an apocalyptic number.

284638428090 is an abundant number, since it is smaller than the sum of its proper divisors (514227013830).

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

284638428090 is a wasteful number, since it uses less digits than its factorization.

284638428090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741668 (or 4741665 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 284638428090 in words is "two hundred eighty-four billion, six hundred thirty-eight million, four hundred twenty-eight thousand, ninety".