1418083128 has 144 divisors (see below), whose sum is σ = 4873971960. Its totient is φ = 368323200.

The previous prime is 1418083099. The next prime is 1418083153. The reversal of 1418083128 is 8213808141.

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 = 1418083092 and 1418083101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20538 + ... + 57078.

Almost surely, 2^1418083128 is an apocalyptic number.

1418083128 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 1418083128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436985980).

1418083128 is an abundant number, since it is smaller than the sum of its proper divisors (3455888832).

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

1418083128 is a wasteful number, since it uses less digits than its factorization.

1418083128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36578 (or 36564 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1418083128 is about 37657.4445229625. Note that the first 3 decimals coincide. The cubic root of 1418083128 is about 1123.4848747491.

The spelling of 1418083128 in words is "one billion, four hundred eighteen million, eighty-three thousand, one hundred twenty-eight".