2537728 has 36 divisors (see below), whose sum is σ = 5298048. Its totient is φ = 1210880.

The previous prime is 2537701. The next prime is 2537729. The reversal of 2537728 is 8277352.

It is a d-powerful number, because it can be written as 2⁵ + 5³ + 3¹³ + 7⁶ + 7⁷ + 2¹¹ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 2537693 and 2537702.

It is not an unprimeable number, because it can be changed into a prime (2537729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5673 + ... + 6103.

It is an arithmetic number, because the mean of its divisors is an integer number (147168).

2^2537728 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 2537728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024).

2537728 is an abundant number, since it is smaller than the sum of its proper divisors (2760320).

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

2537728 is an equidigital number, since it uses as much as digits as its factorization.

2537728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its digits is 23520, while the sum is 34.

The square root of 2537728 is about 1593.0247957894. The cubic root of 2537728 is about 136.4002052496.

The spelling of 2537728 in words is "two million, five hundred thirty-seven thousand, seven hundred twenty-eight".