282889152 has 336 divisors, whose sum is σ = 1045890720. Its totient is φ = 74317824.

The previous prime is 282889133. The next prime is 282889199. The reversal of 282889152 is 251988282.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 282889098 and 282889107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100608 + ... + 1100864.

It is an arithmetic number, because the mean of its divisors is an integer number (3112770).

Almost surely, 2^282889152 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 282889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522945360).

282889152 is an abundant number, since it is smaller than the sum of its proper divisors (763001568).

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

282889152 is a wasteful number, since it uses less digits than its factorization.

282889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 282889152 is about 16819.3089037570. The cubic root of 282889152 is about 656.4557115099.

The spelling of 282889152 in words is "two hundred eighty-two million, eight hundred eighty-nine thousand, one hundred fifty-two".