10728960 has 160 divisors (see below), whose sum is σ = 37711872. Its totient is φ = 2580480.

The previous prime is 10728959. The next prime is 10728967. The reversal of 10728960 is 6982701.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10728960² = 230221165363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84417 + ... + 84543.

Almost surely, 2^10728960 is an apocalyptic number.

10728960 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 10728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855936).

10728960 is an abundant number, since it is smaller than the sum of its proper divisors (26982912).

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

10728960 is a wasteful number, since it uses less digits than its factorization.

10728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10728960 is about 3275.5091207322. The cubic root of 10728960 is about 220.5561685570.

The spelling of 10728960 in words is "ten million, seven hundred twenty-eight thousand, nine hundred sixty".