284920128 has 168 divisors, whose sum is σ = 869548680. Its totient is φ = 89026560.

The previous prime is 284920117. The next prime is 284920147. The reversal of 284920128 is 821029482.

284920128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75481344 + 209438784 = 8688^2 + 14472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 284920092 and 284920101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617818 + ... + 618278.

It is an arithmetic number, because the mean of its divisors is an integer number (5175885).

Almost surely, 2^284920128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434774340).

284920128 is an abundant number, since it is smaller than the sum of its proper divisors (584628552).

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

284920128 is a wasteful number, since it uses less digits than its factorization.

284920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 284920128 is about 16879.5772458910. The cubic root of 284920128 is about 658.0229541485.

The spelling of 284920128 in words is "two hundred eighty-four million, nine hundred twenty thousand, one hundred twenty-eight".