10285835328 has 224 divisors, whose sum is σ = 30954268800. Its totient is φ = 3348283392.

The previous prime is 10285835303. The next prime is 10285835347. The reversal of 10285835328 is 82353858201.

10285835328 is a `hidden beast` number, since 10 + 2 + 8 + 583 + 53 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23754600 + ... + 23755032.

It is an arithmetic number, because the mean of its divisors is an integer number (138188700).

Almost surely, 2^10285835328 is an apocalyptic number.

10285835328 is a gapful number since it is divisible by the number (18) 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 10285835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477134400).

10285835328 is an abundant number, since it is smaller than the sum of its proper divisors (20668433472).

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

10285835328 is a wasteful number, since it uses less digits than its factorization.

10285835328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 10285835328 in words is "ten billion, two hundred eighty-five million, eight hundred thirty-five thousand, three hundred twenty-eight".