2701728 has 96 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 868608.

The previous prime is 2701723. The next prime is 2701739. The reversal of 2701728 is 8271072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2701723) 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, 45763 + ... + 45821.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

2^2701728 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 2701728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2701728 is an abundant number, since it is smaller than the sum of its proper divisors (5463072).

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

2701728 is a wasteful number, since it uses less digits than its factorization.

2701728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2701728 is about 1643.6934020674. The cubic root of 2701728 is about 139.2773648419.

The spelling of 2701728 in words is "two million, seven hundred one thousand, seven hundred twenty-eight".