284801132 has 96 divisors (see below), whose sum is σ = 643507200. Its totient is φ = 109320960.

The previous prime is 284801107. The next prime is 284801159. The reversal of 284801132 is 231108482.

284801132 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 2×284801132² = 162223369576962848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 284801095 and 284801104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705313 + ... + 1705479.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2^284801132 is an apocalyptic number.

284801132 is a gapful number since it is divisible by the number (22) 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 284801132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

284801132 is an abundant number, since it is smaller than the sum of its proper divisors (358706068).

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

284801132 is a wasteful number, since it uses less digits than its factorization.

284801132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 284801132 is about 16876.0520264664. The cubic root of 284801132 is about 657.9313343164.

The spelling of 284801132 in words is "two hundred eighty-four million, eight hundred one thousand, one hundred thirty-two".