1830140928 has 264 divisors, whose sum is σ = 6591012480. Its totient is φ = 475176960.

The previous prime is 1830140911. The next prime is 1830140959. The reversal of 1830140928 is 8290410381.

It is a tau number, because it is divible by the number of its divisors (264).

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 = 1830140892 and 1830140901.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 708343 + ... + 710921.

Almost surely, 2^1830140928 is an apocalyptic number.

1830140928 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 1830140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295506240).

1830140928 is an abundant number, since it is smaller than the sum of its proper divisors (4760871552).

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

1830140928 is a wasteful number, since it uses less digits than its factorization.

1830140928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1830140928 is about 42780.1464233118. The cubic root of 1830140928 is about 1223.1925983683.

The spelling of 1830140928 in words is "one billion, eight hundred thirty million, one hundred forty thousand, nine hundred twenty-eight".