10028286336 has 128 divisors (see below), whose sum is σ = 28090800000. Its totient is φ = 3161051136.

The previous prime is 10028286277. The next prime is 10028286397. The reversal of 10028286336 is 63368282001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10028286294 and 10028286303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5901615 + ... + 5903313.

It is an arithmetic number, because the mean of its divisors is an integer number (219459375).

Almost surely, 2^10028286336 is an apocalyptic number.

10028286336 is a gapful number since it is divisible by the number (16) 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 10028286336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045400000).

10028286336 is an abundant number, since it is smaller than the sum of its proper divisors (18062513664).

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

10028286336 is a wasteful number, since it uses less digits than its factorization.

10028286336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 10028286336 in words is "ten billion, twenty-eight million, two hundred eighty-six thousand, three hundred thirty-six".