1834954128 has 240 divisors, whose sum is σ = 6190853760. Its totient is φ = 509573376.

The previous prime is 1834954117. The next prime is 1834954153. The reversal of 1834954128 is 8214594381.

1834954128 is a `hidden beast` number, since 1 + 83 + 4 + 9 + 541 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17149051 + ... + 17149157.

It is an arithmetic number, because the mean of its divisors is an integer number (25795224).

Almost surely, 2^1834954128 is an apocalyptic number.

1834954128 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 1834954128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095426880).

1834954128 is an abundant number, since it is smaller than the sum of its proper divisors (4355899632).

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

1834954128 is a wasteful number, since it uses less digits than its factorization.

1834954128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 172 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1834954128 is about 42836.3645516283. The cubic root of 1834954128 is about 1224.2639761292.

The spelling of 1834954128 in words is "one billion, eight hundred thirty-four million, nine hundred fifty-four thousand, one hundred twenty-eight".