1092313728 has 256 divisors, whose sum is σ = 3583872000. Its totient is φ = 324725760.

The previous prime is 1092313721. The next prime is 1092313753. The reversal of 1092313728 is 8273132901.

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

It is a junction number, because it is equal to n+sod(n) for n = 1092313692 and 1092313701.

It is not an unprimeable number, because it can be changed into a prime (1092313721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2242701 + ... + 2243187.

It is an arithmetic number, because the mean of its divisors is an integer number (13999500).

Almost surely, 2^1092313728 is an apocalyptic number.

1092313728 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 1092313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791936000).

1092313728 is an abundant number, since it is smaller than the sum of its proper divisors (2491558272).

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

1092313728 is a wasteful number, since it uses less digits than its factorization.

1092313728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1092313728 is about 33050.1698634061. The cubic root of 1092313728 is about 1029.8701341279.

The spelling of 1092313728 in words is "one billion, ninety-two million, three hundred thirteen thousand, seven hundred twenty-eight".