286428960 has 288 divisors, whose sum is σ = 1040195520. Its totient is φ = 74400768.

The previous prime is 286428949. The next prime is 286428973. The reversal of 286428960 is 69824682.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2060571 + ... + 2060709.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2^286428960 is an apocalyptic number.

286428960 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 286428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520097760).

286428960 is an abundant number, since it is smaller than the sum of its proper divisors (753766560).

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

286428960 is a wasteful number, since it uses less digits than its factorization.

286428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 286428960 is about 16924.2122416377. The cubic root of 286428960 is about 659.1824588052.

The spelling of 286428960 in words is "two hundred eighty-six million, four hundred twenty-eight thousand, nine hundred sixty".