1247113728 has 360 divisors, whose sum is σ = 4399521984. Its totient is φ = 332513280.

The previous prime is 1247113717. The next prime is 1247113733. The reversal of 1247113728 is 8273117421.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1247113692 and 1247113701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30417388 + ... + 30417428.

Almost surely, 2^1247113728 is an apocalyptic number.

1247113728 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 1247113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199760992).

1247113728 is an abundant number, since it is smaller than the sum of its proper divisors (3152408256).

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

1247113728 is an equidigital number, since it uses as much as digits as its factorization.

1247113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 76 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 1247113728 is about 35314.4974196151. The cubic root of 1247113728 is about 1076.3876014542.

The spelling of 1247113728 in words is "one billion, two hundred forty-seven million, one hundred thirteen thousand, seven hundred twenty-eight".