1930309128 has 144 divisors (see below), whose sum is σ = 5833922640. Its totient is φ = 576037440.

The previous prime is 1930309097. The next prime is 1930309133. The reversal of 1930309128 is 8219030391.

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 = 1930309092 and 1930309101.

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 35 ways as a sum of consecutive naturals, for example, 582051 + ... + 585357.

Almost surely, 2^1930309128 is an apocalyptic number.

1930309128 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 1930309128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916961320).

1930309128 is an abundant number, since it is smaller than the sum of its proper divisors (3903613512).

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

1930309128 is a wasteful number, since it uses less digits than its factorization.

1930309128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1930309128 is about 43935.2834063922. The cubic root of 1930309128 is about 1245.1135368466.

The spelling of 1930309128 in words is "one billion, nine hundred thirty million, three hundred nine thousand, one hundred twenty-eight".