2457728 has 64 divisors (see below), whose sum is σ = 6054720. Its totient is φ = 967680.

The previous prime is 2457727. The next prime is 2457731. The reversal of 2457728 is 8277542.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (31360) is a multiple of the sum of its prime factors (245).

It is not an unprimeable number, because it can be changed into a prime (2457727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11543 + ... + 11753.

It is an arithmetic number, because the mean of its divisors is an integer number (94605).

2^2457728 is an apocalyptic number.

2457728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027360).

2457728 is an abundant number, since it is smaller than the sum of its proper divisors (3596992).

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

2457728 is a wasteful number, since it uses less digits than its factorization.

2457728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its digits is 31360, while the sum is 35.

The square root of 2457728 is about 1567.7142596787. The cubic root of 2457728 is about 134.9515692761.

The spelling of 2457728 in words is "two million, four hundred fifty-seven thousand, seven hundred twenty-eight".