10800628128 has 120 divisors (see below), whose sum is σ = 33436307520. Its totient is φ = 3410709120.

The previous prime is 10800628127. The next prime is 10800628159. The reversal of 10800628128 is 82182600801.

10800628128 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 628 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10800628092 and 10800628101.

It is not an unprimeable number, because it can be changed into a prime (10800628123) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 60408 + ... + 158903.

It is an arithmetic number, because the mean of its divisors is an integer number (278635896).

Almost surely, 2^10800628128 is an apocalyptic number.

10800628128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10800628128 is an abundant number, since it is smaller than the sum of its proper divisors (22635679392).

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

10800628128 is a wasteful number, since it uses less digits than its factorization.

10800628128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219352 (or 219335 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10800628128 in words is "ten billion, eight hundred million, six hundred twenty-eight thousand, one hundred twenty-eight".