1172800728 has 192 divisors, whose sum is σ = 3738470400. Its totient is φ = 339768000.

The previous prime is 1172800703. The next prime is 1172800757. The reversal of 1172800728 is 8270082711.

It is a happy number.

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 = 1172800692 and 1172800701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600153 + ... + 602103.

It is an arithmetic number, because the mean of its divisors is an integer number (19471200).

Almost surely, 2^1172800728 is an apocalyptic number.

1172800728 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 1172800728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869235200).

1172800728 is an abundant number, since it is smaller than the sum of its proper divisors (2565669672).

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

1172800728 is a wasteful number, since it uses less digits than its factorization.

1172800728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1172800728 is about 34246.1782977313. The cubic root of 1172800728 is about 1054.5683725085.

It can be divided in two parts, 11 and 72800728, that multiplied together give a palindrome (800808008).

The spelling of 1172800728 in words is "one billion, one hundred seventy-two million, eight hundred thousand, seven hundred twenty-eight".