10777728 has 128 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 3096576.

The previous prime is 10777721. The next prime is 10777751. The reversal of 10777728 is 82777701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10777721) 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, 84801 + ... + 84927.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^10777728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

10777728 is an abundant number, since it is smaller than the sum of its proper divisors (22123392).

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

10777728 is a wasteful number, since it uses less digits than its factorization.

10777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 39.

The square root of 10777728 is about 3282.9450193386. The cubic root of 10777728 is about 220.8898395174.

The spelling of 10777728 in words is "ten million, seven hundred seventy-seven thousand, seven hundred twenty-eight".