10728438336 has 1008 divisors, whose sum is σ = 43597811712. Its totient is φ = 2538086400.

The previous prime is 10728438317. The next prime is 10728438359. The reversal of 10728438336 is 63383482701.

10728438336 is a `hidden beast` number, since 1 + 0 + 7 + 284 + 38 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 10728438291 and 10728438300.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346078641 + ... + 346078671.

Almost surely, 2^10728438336 is an apocalyptic number.

10728438336 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 10728438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798905856).

10728438336 is an abundant number, since it is smaller than the sum of its proper divisors (32869373376).

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

10728438336 is a wasteful number, since it uses less digits than its factorization.

10728438336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10728438336 in words is "ten billion, seven hundred twenty-eight million, four hundred thirty-eight thousand, three hundred thirty-six".