2726928 has 60 divisors (see below), whose sum is σ = 7906860. Its totient is φ = 876288.

The previous prime is 2726923. The next prime is 2726939. The reversal of 2726928 is 8296272.

2726928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 1710864 = 1008^2 + 1308^2 .

It is a super-2 number, since 2×2726928² = 14872272634368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2726892 and 2726901.

It is not an unprimeable number, because it can be changed into a prime (2726923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3850 + ... + 4502.

It is an arithmetic number, because the mean of its divisors is an integer number (131781).

2^2726928 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 2726928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953430).

2726928 is an abundant number, since it is smaller than the sum of its proper divisors (5179932).

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

2726928 is a wasteful number, since it uses less digits than its factorization.

2726928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2726928 is about 1651.3412730263. The cubic root of 2726928 is about 139.7090556498.

Subtracting from 2726928 its product of digits (24192), we obtain a square (2702736 = 1644²).

The spelling of 2726928 in words is "two million, seven hundred twenty-six thousand, nine hundred twenty-eight".