10728210816 has 384 divisors, whose sum is σ = 33381784800. Its totient is φ = 3300950016.

The previous prime is 10728210769. The next prime is 10728210841. The reversal of 10728210816 is 61801282701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129255511 + ... + 129255593.

Almost surely, 2^10728210816 is an apocalyptic number.

10728210816 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 10728210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690892400).

10728210816 is an abundant number, since it is smaller than the sum of its proper divisors (22653573984).

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

10728210816 is a wasteful number, since it uses less digits than its factorization.

10728210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10728210816 in words is "ten billion, seven hundred twenty-eight million, two hundred ten thousand, eight hundred sixteen".