1162728 has 64 divisors (see below), whose sum is σ = 3696000. Its totient is φ = 331776.

The previous prime is 1162727. The next prime is 1162729. The reversal of 1162728 is 8272611.

1162728 is a `hidden beast` number, since 11 + 627 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1162727) and next prime (1162729).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (1162727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128 + ... + 1896.

It is an arithmetic number, because the mean of its divisors is an integer number (57750).

2^1162728 is an apocalyptic number.

1162728 is a gapful number since it is divisible by the number (18) 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 1162728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848000).

1162728 is an abundant number, since it is smaller than the sum of its proper divisors (2533272).

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

1162728 is a wasteful number, since it uses less digits than its factorization.

1162728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1162728 is about 1078.2986599268. The cubic root of 1162728 is about 105.1540595623.

The spelling of 1162728 in words is "one million, one hundred sixty-two thousand, seven hundred twenty-eight".