283152000 has 256 divisors, whose sum is σ = 996727680. Its totient is φ = 70860800.

The previous prime is 283151989. The next prime is 283152019. The reversal of 283152000 is 251382.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815827 + ... + 816173.

Almost surely, 2^283152000 is an apocalyptic number.

283152000 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 283152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498363840).

283152000 is an abundant number, since it is smaller than the sum of its proper divisors (713575680).

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

283152000 is a wasteful number, since it uses less digits than its factorization.

283152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 283152000 is about 16827.1209658694. The cubic root of 283152000 is about 656.6589650409.

The spelling of 283152000 in words is "two hundred eighty-three million, one hundred fifty-two thousand".