284720128 has 176 divisors, whose sum is σ = 745173504. Its totient is φ = 105431040.

The previous prime is 284720083. The next prime is 284720147. The reversal of 284720128 is 821027482.

284720128 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 284720093 and 284720102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813426 + ... + 1813582.

Almost surely, 2^284720128 is an apocalyptic number.

284720128 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 284720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372586752).

284720128 is an abundant number, since it is smaller than the sum of its proper divisors (460453376).

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

284720128 is a wasteful number, since it uses less digits than its factorization.

284720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 284720128 is about 16873.6518868916. The cubic root of 284720128 is about 657.8689514612.

The spelling of 284720128 in words is "two hundred eighty-four million, seven hundred twenty thousand, one hundred twenty-eight".