284939928 has 192 divisors, whose sum is σ = 959300160. Its totient is φ = 74400768.

The previous prime is 284939927. The next prime is 284939929. The reversal of 284939928 is 829939482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284939927) and next prime (284939929).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284939927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028526 + ... + 1028802.

It is an arithmetic number, because the mean of its divisors is an integer number (4996355).

Almost surely, 2^284939928 is an apocalyptic number.

284939928 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 284939928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479650080).

284939928 is an abundant number, since it is smaller than the sum of its proper divisors (674360232).

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

284939928 is a wasteful number, since it uses less digits than its factorization.

284939928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 284939928 is about 16880.1637432816. The cubic root of 284939928 is about 658.0381964936.

The spelling of 284939928 in words is "two hundred eighty-four million, nine hundred thirty-nine thousand, nine hundred twenty-eight".