282673152 has 180 divisors, whose sum is σ = 858757536. Its totient is φ = 92897280.

The previous prime is 282673141. The next prime is 282673199. The reversal of 282673152 is 251376282.

282673152 is a `hidden beast` number, since 282 + 67 + 315 + 2 = 666.

It is a super-2 number, since 2×282673152² = 159808221723230208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3981277 + ... + 3981347.

Almost surely, 2^282673152 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 282673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429378768).

282673152 is an abundant number, since it is smaller than the sum of its proper divisors (576084384).

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

282673152 is an frugal number, since it uses more digits than its factorization.

282673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 282673152 is about 16812.8864862640. The cubic root of 282673152 is about 656.2885900572.

The spelling of 282673152 in words is "two hundred eighty-two million, six hundred seventy-three thousand, one hundred fifty-two".