285381070128 has 480 divisors, whose sum is σ = 1052417283840. Its totient is φ = 74120054400.

The previous prime is 285381070063. The next prime is 285381070147. The reversal of 285381070128 is 821070183582.

285381070128 is a `hidden beast` number, since 2 + 8 + 538 + 107 + 0 + 1 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18853123 + ... + 18868253.

It is an arithmetic number, because the mean of its divisors is an integer number (2192536008).

Almost surely, 2^285381070128 is an apocalyptic number.

285381070128 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 285381070128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526208641920).

285381070128 is an abundant number, since it is smaller than the sum of its proper divisors (767036213712).

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

285381070128 is a wasteful number, since it uses less digits than its factorization.

285381070128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15185 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 285381070128 in words is "two hundred eighty-five billion, three hundred eighty-one million, seventy thousand, one hundred twenty-eight".