1967781928 has 128 divisors (see below), whose sum is σ = 4528742400. Its totient is φ = 783484416.

The previous prime is 1967781899. The next prime is 1967781929. The reversal of 1967781928 is 8291877691.

It is not an unprimeable number, because it can be changed into a prime (1967781929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8445300 + ... + 8445532.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^1967781928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1967781928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1967781928 is an abundant number, since it is smaller than the sum of its proper divisors (2560960472).

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

1967781928 is a wasteful number, since it uses less digits than its factorization.

1967781928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 58.

The square root of 1967781928 is about 44359.6880962885. The cubic root of 1967781928 is about 1253.1190221940.

The spelling of 1967781928 in words is "one billion, nine hundred sixty-seven million, seven hundred eighty-one thousand, nine hundred twenty-eight".