1140728688 has 240 divisors, whose sum is σ = 3795292800. Its totient is φ = 315947520.

The previous prime is 1140728683. The next prime is 1140728689. The reversal of 1140728688 is 8868270411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140728683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872131 + ... + 873437.

It is an arithmetic number, because the mean of its divisors is an integer number (15813720).

Almost surely, 2^1140728688 is an apocalyptic number.

1140728688 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 1140728688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897646400).

1140728688 is an abundant number, since it is smaller than the sum of its proper divisors (2654564112).

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

1140728688 is a wasteful number, since it uses less digits than its factorization.

1140728688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1140728688 is about 33774.6752464032. The cubic root of 1140728688 is about 1044.8664582144.

It can be divided in two parts, 114072 and 8688, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1140728688 in words is "one billion, one hundred forty million, seven hundred twenty-eight thousand, six hundred eighty-eight".