283828088160 has 144 divisors (see below), whose sum is σ = 980233201584. Its totient is φ = 74775561216.

The previous prime is 283828088143. The next prime is 283828088161. The reversal of 283828088160 is 61880828382.

283828088160 is a `hidden beast` number, since 28 + 382 + 8 + 0 + 88 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 283828088097 and 283828088106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283828088161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067847 + ... + 1306886.

It is an arithmetic number, because the mean of its divisors is an integer number (6807175011).

Almost surely, 2^283828088160 is an apocalyptic number.

283828088160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283828088160 is an abundant number, since it is smaller than the sum of its proper divisors (696405113424).

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

283828088160 is a wasteful number, since it uses less digits than its factorization.

283828088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374837 (or 2374826 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 283828088160 in words is "two hundred eighty-three billion, eight hundred twenty-eight million, eighty-eight thousand, one hundred sixty".