1913928960 has 144 divisors (see below), whose sum is σ = 6130724544. Its totient is φ = 508870656.

The previous prime is 1913928941. The next prime is 1913928967. The reversal of 1913928960 is 698293191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913928967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007844 + ... + 2008796.

It is an arithmetic number, because the mean of its divisors is an integer number (42574476).

Almost surely, 2^1913928960 is an apocalyptic number.

1913928960 is a gapful number since it is divisible by the number (10) 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 1913928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065362272).

1913928960 is an abundant number, since it is smaller than the sum of its proper divisors (4216795584).

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

1913928960 is an equidigital number, since it uses as much as digits as its factorization.

1913928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 1913928960 is about 43748.4738019511. The cubic root of 1913928960 is about 1241.5816099767.

The spelling of 1913928960 in words is "one billion, nine hundred thirteen million, nine hundred twenty-eight thousand, nine hundred sixty".