287132040 has 320 divisors, whose sum is σ = 1103200560. Its totient is φ = 66355200.

The previous prime is 287132011. The next prime is 287132059. The reversal of 287132040 is 40231782.

It can be written as a sum of positive squares in 8 ways, for example, as 205807716 + 81324324 = 14346^2 + 9018^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 287131995 and 287132013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 715840 + ... + 716240.

Almost surely, 2^287132040 is an apocalyptic number.

287132040 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 287132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551600280).

287132040 is an abundant number, since it is smaller than the sum of its proper divisors (816068520).

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

287132040 is a wasteful number, since it uses less digits than its factorization.

287132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 287132040 is about 16944.9709353542. The cubic root of 287132040 is about 659.7213699916.

The spelling of 287132040 in words is "two hundred eighty-seven million, one hundred thirty-two thousand, forty".