287993100 has 144 divisors (see below), whose sum is σ = 869944320. Its totient is φ = 73478400.

The previous prime is 287993087. The next prime is 287993119. The reversal of 287993100 is 1399782.

It is a super-2 number, since 2×287993100² = 165880051295220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608811 + ... + 1608989.

It is an arithmetic number, because the mean of its divisors is an integer number (6041280).

Almost surely, 2^287993100 is an apocalyptic number.

287993100 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 287993100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434972160).

287993100 is an abundant number, since it is smaller than the sum of its proper divisors (581951220).

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

287993100 is a wasteful number, since it uses less digits than its factorization.

287993100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 287993100 is about 16970.3594540599. The cubic root of 287993100 is about 660.3801758252.

The spelling of 287993100 in words is "two hundred eighty-seven million, nine hundred ninety-three thousand, one hundred".