1149728 has 48 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 518400.

The previous prime is 1149689. The next prime is 1149737. The reversal of 1149728 is 8279411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1149694 and 1149703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18818 + ... + 18878.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2^1149728 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 1149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

1149728 is an abundant number, since it is smaller than the sum of its proper divisors (1350112).

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

1149728 is a wasteful number, since it uses less digits than its factorization.

1149728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 1149728 is about 1072.2537013226. The cubic root of 1149728 is about 104.7606946207.

The spelling of 1149728 in words is "one million, one hundred forty-nine thousand, seven hundred twenty-eight".