10355257728 has 160 divisors (see below), whose sum is σ = 30884127120. Its totient is φ = 3444249600.

The previous prime is 10355257709. The next prime is 10355257741. The reversal of 10355257728 is 82775255301.

10355257728 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 52 + 577 + 28 = 666.

It is a super-3 number, since 3×10355257728³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6852493 + ... + 6854003.

Almost surely, 2^10355257728 is an apocalyptic number.

10355257728 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 10355257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442063560).

10355257728 is an abundant number, since it is smaller than the sum of its proper divisors (20528869392).

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

10355257728 is an equidigital number, since it uses as much as digits as its factorization.

10355257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 10355257728 in words is "ten billion, three hundred fifty-five million, two hundred fifty-seven thousand, seven hundred twenty-eight".