284929992 has 96 divisors (see below), whose sum is σ = 795674880. Its totient is φ = 92056320.

The previous prime is 284929973. The next prime is 284929993. The reversal of 284929992 is 299929482.

284929992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×284929992² = 162370200682240128, which contains 22 as substring.

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 (284929993) 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 23 ways as a sum of consecutive naturals, for example, 776193 + ... + 776559.

It is an arithmetic number, because the mean of its divisors is an integer number (8288280).

Almost surely, 2^284929992 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 284929992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397837440).

284929992 is an abundant number, since it is smaller than the sum of its proper divisors (510744888).

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

284929992 is a wasteful number, since it uses less digits than its factorization.

284929992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 284929992 is about 16879.8694307746. The cubic root of 284929992 is about 658.0305476960.

The spelling of 284929992 in words is "two hundred eighty-four million, nine hundred twenty-nine thousand, nine hundred ninety-two".