282938880 has 320 divisors, whose sum is σ = 1092072960. Its totient is φ = 61046784.

The previous prime is 282938867. The next prime is 282938911. The reversal of 282938880 is 88839282.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021302 + ... + 1021578.

It is an arithmetic number, because the mean of its divisors is an integer number (3412728).

Almost surely, 2^282938880 is an apocalyptic number.

282938880 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 282938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546036480).

282938880 is an abundant number, since it is smaller than the sum of its proper divisors (809134080).

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

282938880 is a wasteful number, since it uses less digits than its factorization.

282938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 282938880 is about 16820.7871397268. The cubic root of 282938880 is about 656.4941745342.

It can be divided in two parts, 28293 and 8880, that added together give a palindrome (37173).

The spelling of 282938880 in words is "two hundred eighty-two million, nine hundred thirty-eight thousand, eight hundred eighty".