282281328 has 320 divisors, whose sum is σ = 1035648000. Its totient is φ = 71912448.

The previous prime is 282281317. The next prime is 282281371. The reversal of 282281328 is 823182282.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24576) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 282281292 and 282281301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14856903 + ... + 14856921.

It is an arithmetic number, because the mean of its divisors is an integer number (3236400).

Almost surely, 2^282281328 is an apocalyptic number.

282281328 is a gapful number since it is divisible by the number (28) 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 282281328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517824000).

282281328 is an abundant number, since it is smaller than the sum of its proper divisors (753366672).

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

282281328 is a wasteful number, since it uses less digits than its factorization.

282281328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 282281328 is about 16801.2299549765. The cubic root of 282281328 is about 655.9852143207.

The spelling of 282281328 in words is "two hundred eighty-two million, two hundred eighty-one thousand, three hundred twenty-eight".