4284587328 has 112 divisors (see below), whose sum is σ = 12972288000. Its totient is φ = 1222608384.

The previous prime is 4284587323. The next prime is 4284587341. The reversal of 4284587328 is 8237854824.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284587323) 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 15 ways as a sum of consecutive naturals, for example, 1427173 + ... + 1430171.

It is an arithmetic number, because the mean of its divisors is an integer number (115824000).

Almost surely, 2^4284587328 is an apocalyptic number.

4284587328 is a gapful number since it is divisible by the number (48) 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 4284587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486144000).

4284587328 is an abundant number, since it is smaller than the sum of its proper divisors (8687700672).

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

4284587328 is a wasteful number, since it uses less digits than its factorization.

4284587328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4074 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 51.

The square root of 4284587328 is about 65456.7592231696. The cubic root of 4284587328 is about 1624.1881328960.

The spelling of 4284587328 in words is "four billion, two hundred eighty-four million, five hundred eighty-seven thousand, three hundred twenty-eight".