1141728 has 48 divisors (see below), whose sum is σ = 3427200. Its totient is φ = 326016.

The previous prime is 1141717. The next prime is 1141739. The reversal of 1141728 is 8271411.

It is an interprime number because it is at equal distance from previous prime (1141717) and next prime (1141739).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1141698 and 1141707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (71400).

2^1141728 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 1141728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600).

1141728 is an abundant number, since it is smaller than the sum of its proper divisors (2285472).

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

1141728 is a wasteful number, since it uses less digits than its factorization.

1141728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 1141728 is about 1068.5167289285. The cubic root of 1141728 is about 104.5171480448.

The spelling of 1141728 in words is "one million, one hundred forty-one thousand, seven hundred twenty-eight".