1938328560 has 120 divisors (see below), whose sum is σ = 7439508960. Its totient is φ = 443045376.

The previous prime is 1938328549. The next prime is 1938328573. The reversal of 1938328560 is 658238391.

It is a happy number.

1938328560 is a `hidden beast` number, since 1 + 9 + 3 + 83 + 2 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187255 + ... + 197334.

It is an arithmetic number, because the mean of its divisors is an integer number (61995908).

Almost surely, 2^1938328560 is an apocalyptic number.

1938328560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1938328560 is an abundant number, since it is smaller than the sum of its proper divisors (5501180400).

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

1938328560 is a wasteful number, since it uses less digits than its factorization.

1938328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384615 (or 384606 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1938328560 is about 44026.4529572847. The cubic root of 1938328560 is about 1246.8354212473.

The spelling of 1938328560 in words is "one billion, nine hundred thirty-eight million, three hundred twenty-eight thousand, five hundred sixty".