282828000 has 576 divisors, whose sum is σ = 1192097088. Its totient is φ = 58060800.

The previous prime is 282827989. The next prime is 282828011. The reversal of 282828000 is 828282.

It is an interprime number because it is at equal distance from previous prime (282827989) and next prime (282828011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7643982 + ... + 7644018.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 2^282828000 is an apocalyptic number.

282828000 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 282828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596048544).

282828000 is an abundant number, since it is smaller than the sum of its proper divisors (909269088).

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

282828000 is a wasteful number, since it uses less digits than its factorization.

282828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 282828000 is about 16817.4908948987. The cubic root of 282828000 is about 656.4084062051.

The spelling of 282828000 in words is "two hundred eighty-two million, eight hundred twenty-eight thousand".