1830040128 has 560 divisors, whose sum is σ = 6727057920. Its totient is φ = 480743424.

The previous prime is 1830040117. The next prime is 1830040129. The reversal of 1830040128 is 8210400381.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830040129) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 38937001 + ... + 38937047.

Almost surely, 2^1830040128 is an apocalyptic number.

1830040128 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 1830040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363528960).

1830040128 is an abundant number, since it is smaller than the sum of its proper divisors (4897017792).

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

1830040128 is a wasteful number, since it uses less digits than its factorization.

1830040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1830040128 is about 42778.9682905046. The cubic root of 1830040128 is about 1223.1701410672.

The spelling of 1830040128 in words is "one billion, eight hundred thirty million, forty thousand, one hundred twenty-eight".