287409672 has 192 divisors, whose sum is σ = 891596160. Its totient is φ = 82867200.

The previous prime is 287409671. The next prime is 287409743. The reversal of 287409672 is 276904782.

It is a super-3 number, since 3×287409672³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (287409671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720933 + ... + 1721099.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^287409672 is an apocalyptic number.

287409672 is a gapful number since it is divisible by the number (22) 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 287409672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

287409672 is an abundant number, since it is smaller than the sum of its proper divisors (604186488).

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

287409672 is a wasteful number, since it uses less digits than its factorization.

287409672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 287409672 is about 16953.1611211597. The cubic root of 287409672 is about 659.9339327807.

The spelling of 287409672 in words is "two hundred eighty-seven million, four hundred nine thousand, six hundred seventy-two".