5257728 has 120 divisors (see below), whose sum is σ = 17448288. Its totient is φ = 1492992.

The previous prime is 5257727. The next prime is 5257741. The reversal of 5257728 is 8277525.

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

Its product of digits (39200) is a multiple of the sum of its prime divisors (175).

It is a junction number, because it is equal to n+sod(n) for n = 5257692 and 5257701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32175 + ... + 32337.

Almost surely, 2^5257728 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 5257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724144).

5257728 is an abundant number, since it is smaller than the sum of its proper divisors (12190560).

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

5257728 is a wasteful number, since it uses less digits than its factorization.

5257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 5257728 is about 2292.9736151993. The cubic root of 5257728 is about 173.8865689555.

The spelling of 5257728 in words is "five million, two hundred fifty-seven thousand, seven hundred twenty-eight".