1172125728 has 120 divisors (see below), whose sum is σ = 3486607740. Its totient is φ = 386242560.

The previous prime is 1172125711. The next prime is 1172125811. The reversal of 1172125728 is 8275212711.

1172125728 is a `hidden beast` number, since 1 + 1 + 72 + 12 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1019652624 + 152473104 = 31932^2 + 12348^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1172125692 and 1172125701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228148 + ... + 233228.

Almost surely, 2^1172125728 is an apocalyptic number.

1172125728 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 1172125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743303870).

1172125728 is an abundant number, since it is smaller than the sum of its proper divisors (2314482012).

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

1172125728 is an equidigital number, since it uses as much as digits as its factorization.

1172125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5175 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 1172125728 is about 34236.3217650495. The cubic root of 1172125728 is about 1054.3660163757.

The spelling of 1172125728 in words is "one billion, one hundred seventy-two million, one hundred twenty-five thousand, seven hundred twenty-eight".