1190581728 has 96 divisors (see below), whose sum is σ = 3578125824. Its totient is φ = 339558912.

The previous prime is 1190581727. The next prime is 1190581751. The reversal of 1190581728 is 8271850911.

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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1190581728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190581727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487326 + ... + 489762.

It is an arithmetic number, because the mean of its divisors is an integer number (37272144).

Almost surely, 2^1190581728 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 1190581728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789062912).

1190581728 is an abundant number, since it is smaller than the sum of its proper divisors (2387544096).

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

1190581728 is a wasteful number, since it uses less digits than its factorization.

1190581728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The square root of 1190581728 is about 34504.8073172420. The cubic root of 1190581728 is about 1059.8711508269.

It can be divided in two parts, 119058 and 1728, that added together give a triangular number (120786 = T₄₉₁).

The spelling of 1190581728 in words is "one billion, one hundred ninety million, five hundred eighty-one thousand, seven hundred twenty-eight".