10728115200 has 1056 divisors, whose sum is σ = 46054552320. Its totient is φ = 2418278400.

The previous prime is 10728115187. The next prime is 10728115207. The reversal of 10728115200 is 251182701.

10728115200 is a `hidden beast` number, since 107 + 28 + 11 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728115207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129254359 + ... + 129254441.

Almost surely, 2^10728115200 is an apocalyptic number.

10728115200 is a gapful number since it is divisible by the number (10) 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 10728115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027276160).

10728115200 is an abundant number, since it is smaller than the sum of its proper divisors (35326437120).

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

10728115200 is a wasteful number, since it uses less digits than its factorization.

10728115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 10728115200 its reverse (251182701), we get a palindrome (10979297901).

The spelling of 10728115200 in words is "ten billion, seven hundred twenty-eight million, one hundred fifteen thousand, two hundred".