286948000 has 96 divisors (see below), whose sum is σ = 735920640. Its totient is φ = 109753600.

The previous prime is 286947979. The next prime is 286948037. The reversal of 286948000 is 849682.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90441 + ... + 93559.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^286948000 is an apocalyptic number.

286948000 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 286948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367960320).

286948000 is an abundant number, since it is smaller than the sum of its proper divisors (448972640).

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

286948000 is a wasteful number, since it uses less digits than its factorization.

286948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 286948000 is about 16939.5395450998. The cubic root of 286948000 is about 659.5803883130.

The spelling of 286948000 in words is "two hundred eighty-six million, nine hundred forty-eight thousand".