2719728 has 120 divisors (see below), whose sum is σ = 8878896. Its totient is φ = 768000.

The previous prime is 2719709. The next prime is 2719741. The reversal of 2719728 is 8279172.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2719692 and 2719701.

It is a congruent number.

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, 26878 + ... + 26978.

2^2719728 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 2719728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439448).

2719728 is an abundant number, since it is smaller than the sum of its proper divisors (6159168).

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

2719728 is a wasteful number, since it uses less digits than its factorization.

2719728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2719728 is about 1649.1597860729. The cubic root of 2719728 is about 139.5859877617.

It can be divided in two parts, 27197 and 28, that added together give a square (27225 = 165²).

The spelling of 2719728 in words is "two million, seven hundred nineteen thousand, seven hundred twenty-eight".