284889528 has 192 divisors, whose sum is σ = 1004659200. Its totient is φ = 73967040.

The previous prime is 284889503. The next prime is 284889541. The reversal of 284889528 is 825988482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115201 + ... + 117647.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2^284889528 is an apocalyptic number.

284889528 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 284889528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502329600).

284889528 is an abundant number, since it is smaller than the sum of its proper divisors (719769672).

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

284889528 is a wasteful number, since it uses less digits than its factorization.

284889528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2470 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 284889528 is about 16878.6708007473. The cubic root of 284889528 is about 657.9993964081. Note that the first 3 decimals are identical.

The spelling of 284889528 in words is "two hundred eighty-four million, eight hundred eighty-nine thousand, five hundred twenty-eight".