10728810 has 96 divisors (see below), whose sum is σ = 29922048. Its totient is φ = 2661120.

The previous prime is 10728799. The next prime is 10728827. The reversal of 10728810 is 1882701.

It is a super-2 number, since 2×10728810² = 230214728032200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146934 + ... + 147006.

It is an arithmetic number, because the mean of its divisors is an integer number (311688).

Almost surely, 2^10728810 is an apocalyptic number.

10728810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10728810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961024).

10728810 is an abundant number, since it is smaller than the sum of its proper divisors (19193238).

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

10728810 is a wasteful number, since it uses less digits than its factorization.

10728810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 10728810 is about 3275.4862234484. The cubic root of 10728810 is about 220.5551406978. Note that the first 3 decimals are identical.

The spelling of 10728810 in words is "ten million, seven hundred twenty-eight thousand, eight hundred ten".