1156585728 has 144 divisors (see below), whose sum is σ = 3292442496. Its totient is φ = 359546880.

The previous prime is 1156585723. The next prime is 1156585733. The reversal of 1156585728 is 8275856511.

It is an interprime number because it is at equal distance from previous prime (1156585723) and next prime (1156585733).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (672000) is a multiple of the sum of its prime factors (1680).

It is not an unprimeable number, because it can be changed into a prime (1156585723) 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, 723426 + ... + 725022.

It is an arithmetic number, because the mean of its divisors is an integer number (22864184).

Almost surely, 2^1156585728 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 1156585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646221248).

1156585728 is an abundant number, since it is smaller than the sum of its proper divisors (2135856768).

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

1156585728 is a wasteful number, since it uses less digits than its factorization.

1156585728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1666 counting only the distinct ones).

The product of its digits is 672000, while the sum is 48.

The square root of 1156585728 is about 34008.6125562335. The cubic root of 1156585728 is about 1049.6856891424.

The spelling of 1156585728 in words is "one billion, one hundred fifty-six million, five hundred eighty-five thousand, seven hundred twenty-eight".