10728000 has 168 divisors, whose sum is σ = 38633400. Its totient is φ = 2841600.

The previous prime is 10727987. The next prime is 10728017. The reversal of 10728000 is 82701.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 8856576 = 1368^2 + 2976^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71926 + ... + 72074.

Almost surely, 2^10728000 is an apocalyptic number.

10728000 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 10728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19316700).

10728000 is an abundant number, since it is smaller than the sum of its proper divisors (27905400).

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

10728000 is a wasteful number, since it uses less digits than its factorization.

10728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10728000 is about 3275.3625753495. The cubic root of 10728000 is about 220.5495900928.

The spelling of 10728000 in words is "ten million, seven hundred twenty-eight thousand".