19828407375 has 144 divisors (see below), whose sum is σ = 41792115456. Its totient is φ = 9018172800.

The previous prime is 19828407371. The next prime is 19828407383. The reversal of 19828407375 is 57370482891.

It is a happy number.

19828407375 is a `hidden beast` number, since 198 + 2 + 84 + 0 + 7 + 375 = 666.

It is not a de Polignac number, because 19828407375 - 2² = 19828407371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19828407371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12292069 + ... + 12293681.

It is an arithmetic number, because the mean of its divisors is an integer number (290223024).

Almost surely, 2^19828407375 is an apocalyptic number.

19828407375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19828407375 is an abundant number, since it is smaller than the sum of its proper divisors (21963708081).

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

19828407375 is a wasteful number, since it uses less digits than its factorization.

19828407375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 19828407375 in words is "nineteen billion, eight hundred twenty-eight million, four hundred seven thousand, three hundred seventy-five".