1934141328 has 400 divisors, whose sum is σ = 6901840000. Its totient is φ = 521240832.

The previous prime is 1934141303. The next prime is 1934141359. The reversal of 1934141328 is 8231414391.

1934141328 is a `hidden beast` number, since 193 + 4 + 141 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1934141292 and 1934141301.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8445918 + ... + 8446146.

It is an arithmetic number, because the mean of its divisors is an integer number (17254600).

Almost surely, 2^1934141328 is an apocalyptic number.

1934141328 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 1934141328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450920000).

1934141328 is an abundant number, since it is smaller than the sum of its proper divisors (4967698672).

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

1934141328 is a wasteful number, since it uses less digits than its factorization.

1934141328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 260 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1934141328 is about 43978.8736554269. The cubic root of 1934141328 is about 1245.9369576318.

The spelling of 1934141328 in words is "one billion, nine hundred thirty-four million, one hundred forty-one thousand, three hundred twenty-eight".