1157728 has 72 divisors (see below), whose sum is σ = 2815344. Its totient is φ = 464640.

The previous prime is 1157713. The next prime is 1157729. The reversal of 1157728 is 8277511.

It is a happy number.

Its product of digits (3920) is a multiple of the sum of its prime divisors (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1157728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157729) 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, 50325 + ... + 50347.

It is an arithmetic number, because the mean of its divisors is an integer number (39102).

2^1157728 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 1157728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672).

1157728 is an abundant number, since it is smaller than the sum of its proper divisors (1657616).

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

1157728 is a wasteful number, since it uses less digits than its factorization.

1157728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its digits is 3920, while the sum is 31.

The square root of 1157728 is about 1075.9776949361. The cubic root of 1157728 is about 105.0031140422.

The spelling of 1157728 in words is "one million, one hundred fifty-seven thousand, seven hundred twenty-eight".