1828563282 has 384 divisors, whose sum is σ = 5584723200. Its totient is φ = 437778432.

The previous prime is 1828563281. The next prime is 1828563283. The reversal of 1828563282 is 2823658281.

1828563282 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 5 + 632 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1828563281) and next prime (1828563283).

It is a super-2 number, since 2×1828563282² = 6687287352557223048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1828563281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30992569 + ... + 30992627.

It is an arithmetic number, because the mean of its divisors is an integer number (14543550).

Almost surely, 2^1828563282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828563282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792361600).

1828563282 is an abundant number, since it is smaller than the sum of its proper divisors (3756159918).

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

1828563282 is a wasteful number, since it uses less digits than its factorization.

1828563282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1828563282 is about 42761.7034506344. The cubic root of 1828563282 is about 1222.8410189435.

The spelling of 1828563282 in words is "one billion, eight hundred twenty-eight million, five hundred sixty-three thousand, two hundred eighty-two".