286288640 has 72 divisors (see below), whose sum is σ = 748128528. Its totient is φ = 104099840.

The previous prime is 286288633. The next prime is 286288643. The reversal of 286288640 is 46882682.

It is a super-2 number, since 2×286288640² = 163922370786099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 286288591 and 286288600.

It is not an unprimeable number, because it can be changed into a prime (286288643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3914 + ... + 24246.

It is an arithmetic number, because the mean of its divisors is an integer number (10390674).

Almost surely, 2^286288640 is an apocalyptic number.

286288640 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 286288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374064264).

286288640 is an abundant number, since it is smaller than the sum of its proper divisors (461839888).

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

286288640 is a wasteful number, since it uses less digits than its factorization.

286288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365 (or 20351 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 286288640 is about 16920.0661937239. The cubic root of 286288640 is about 659.0747979141.

The spelling of 286288640 in words is "two hundred eighty-six million, two hundred eighty-eight thousand, six hundred forty".