2353728 has 112 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 675840.

The previous prime is 2353723. The next prime is 2353759. The reversal of 2353728 is 8273532.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁹ + 3⁶ + 5⁷ + 3¹⁰ + 7⁶ + 2²¹ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 2353695 and 2353704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353723) 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, 57388 + ... + 57428.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

2^2353728 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 2353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2353728 is an abundant number, since it is smaller than the sum of its proper divisors (4815168).

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

2353728 is a wasteful number, since it uses less digits than its factorization.

2353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2353728 is about 1534.1864293494. The cubic root of 2353728 is about 133.0205557389.

It can be divided in two parts, 2353 and 728, that added together give a triangular number (3081 = T₇₈).

The spelling of 2353728 in words is "two million, three hundred fifty-three thousand, seven hundred twenty-eight".