282829680 has 240 divisors, whose sum is σ = 1149729984. Its totient is φ = 60825600.

The previous prime is 282829661. The next prime is 282829681. The reversal of 282829680 is 86928282.

282829680 is a `hidden beast` number, since 282 + 8 + 296 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282829681) 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, 84030 + ... + 87330.

Almost surely, 2^282829680 is an apocalyptic number.

282829680 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 282829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574864992).

282829680 is an abundant number, since it is smaller than the sum of its proper divisors (866900304).

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

282829680 is a wasteful number, since it uses less digits than its factorization.

282829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 282829680 is about 16817.5408428224. The cubic root of 282829680 is about 656.4097058925.

The spelling of 282829680 in words is "two hundred eighty-two million, eight hundred twenty-nine thousand, six hundred eighty".