286428467528 has 256 divisors, whose sum is σ = 676345282560. Its totient is φ = 110954188800.

The previous prime is 286428467497. The next prime is 286428467543. The reversal of 286428467528 is 825764824682.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523634951 + ... + 523635497.

It is an arithmetic number, because the mean of its divisors is an integer number (2641973760).

Almost surely, 2^286428467528 is an apocalyptic number.

286428467528 is a gapful number since it is divisible by the number (28) 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 286428467528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338172641280).

286428467528 is an abundant number, since it is smaller than the sum of its proper divisors (389916815032).

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

286428467528 is a wasteful number, since it uses less digits than its factorization.

286428467528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 62.

The spelling of 286428467528 in words is "two hundred eighty-six billion, four hundred twenty-eight million, four hundred sixty-seven thousand, five hundred twenty-eight".