10728120 has 144 divisors (see below), whose sum is σ = 36431640. Its totient is φ = 2525952.

The previous prime is 10728083. The next prime is 10728127. The reversal of 10728120 is 2182701.

Added to its reverse (2182701) it gives a triangular number (12910821 = T₅₀₈₁).

10728120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466429 + ... + 466451.

Almost surely, 2^10728120 is an apocalyptic number.

10728120 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 10728120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18215820).

10728120 is an abundant number, since it is smaller than the sum of its proper divisors (25703520).

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

10728120 is a wasteful number, since it uses less digits than its factorization.

10728120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10728120 is about 3275.3808938809. The cubic root of 10728120 is about 220.5504124223.

Adding to 10728120 its reverse (2182701), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 10728120 in words is "ten million, seven hundred twenty-eight thousand, one hundred twenty".