1811248128 has 264 divisors, whose sum is σ = 5633016480. Its totient is φ = 580608000.

The previous prime is 1811248097. The next prime is 1811248151. The reversal of 1811248128 is 8218421181.

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 = 1811248092 and 1811248101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7216003 + ... + 7216253.

Almost surely, 2^1811248128 is an apocalyptic number.

1811248128 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 1811248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816508240).

1811248128 is an abundant number, since it is smaller than the sum of its proper divisors (3821768352).

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

1811248128 is an equidigital number, since it uses as much as digits as its factorization.

1811248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 285 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The square root of 1811248128 is about 42558.7608842175. The cubic root of 1811248128 is about 1218.9689685617.

The spelling of 1811248128 in words is "one billion, eight hundred eleven million, two hundred forty-eight thousand, one hundred twenty-eight".