1189728 has 96 divisors (see below), whose sum is σ = 3719520. Its totient is φ = 373248.

The previous prime is 1189717. The next prime is 1189751. The reversal of 1189728 is 8279811.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (8064) is a multiple of the sum of its prime factors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1189692 and 1189701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69976 + ... + 69992.

It is an arithmetic number, because the mean of its divisors is an integer number (38745).

2^1189728 is an apocalyptic number.

1189728 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 1189728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859760).

1189728 is an abundant number, since it is smaller than the sum of its proper divisors (2529792).

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

1189728 is an frugal number, since it uses more digits than its factorization.

1189728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 22 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 1189728 is about 1090.7465333431. The cubic root of 1189728 is about 105.9617757039.

The spelling of 1189728 in words is "one million, one hundred eighty-nine thousand, seven hundred twenty-eight".