10283728896 has 480 divisors, whose sum is σ = 36111855360. Its totient is φ = 2866544640.

The previous prime is 10283728883. The next prime is 10283728919. The reversal of 10283728896 is 69882738201.

It is a happy number.

10283728896 is a `hidden beast` number, since 102 + 8 + 372 + 88 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250822636 + ... + 250822676.

It is an arithmetic number, because the mean of its divisors is an integer number (75233032).

Almost surely, 2^10283728896 is an apocalyptic number.

10283728896 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 10283728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18055927680).

10283728896 is an abundant number, since it is smaller than the sum of its proper divisors (25828126464).

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

10283728896 is an frugal number, since it uses more digits than its factorization.

10283728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10283728896 in words is "ten billion, two hundred eighty-three million, seven hundred twenty-eight thousand, eight hundred ninety-six".