284732820 has 168 divisors, whose sum is σ = 914447520. Its totient is φ = 74416320.

The previous prime is 284732807. The next prime is 284732821. The reversal of 284732820 is 28237482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284732821) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 860055 + ... + 860385.

It is an arithmetic number, because the mean of its divisors is an integer number (5443140).

Almost surely, 2^284732820 is an apocalyptic number.

284732820 is a gapful number since it is divisible by the number (20) 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 284732820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457223760).

284732820 is an abundant number, since it is smaller than the sum of its proper divisors (629714700).

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

284732820 is a wasteful number, since it uses less digits than its factorization.

284732820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 284732820 is about 16874.0279720048. The cubic root of 284732820 is about 657.8787266145.

The spelling of 284732820 in words is "two hundred eighty-four million, seven hundred thirty-two thousand, eight hundred twenty".