19409834628 has 60 divisors (see below), whose sum is σ = 50886828300. Its totient is φ = 6451368768.

The previous prime is 19409834627. The next prime is 19409834657. The reversal of 19409834628 is 82643890491.

19409834628 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 9 + 8 + 3 + 4 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12071856384 + 7337978244 = 109872^2 + 85662^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19409834623) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 27250 + ... + 198902.

It is an arithmetic number, because the mean of its divisors is an integer number (848113805).

Almost surely, 2^19409834628 is an apocalyptic number.

19409834628 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 19409834628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25443414150).

19409834628 is an abundant number, since it is smaller than the sum of its proper divisors (31476993672).

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

19409834628 is a wasteful number, since it uses less digits than its factorization.

19409834628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172018 (or 172007 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 19409834628 in words is "nineteen billion, four hundred nine million, eight hundred thirty-four thousand, six hundred twenty-eight".