1928961468 has 72 divisors (see below), whose sum is σ = 5583250400. Its totient is φ = 550074240.

The previous prime is 1928961449. The next prime is 1928961473. The reversal of 1928961468 is 8641698291.

1928961468 is a `hidden beast` number, since 1 + 92 + 8 + 96 + 1 + 468 = 666.

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, 129258 + ... + 143406.

Almost surely, 2^1928961468 is an apocalyptic number.

1928961468 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 1928961468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791625200).

1928961468 is an abundant number, since it is smaller than the sum of its proper divisors (3654288932).

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

1928961468 is a wasteful number, since it uses less digits than its factorization.

1928961468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14707 (or 14702 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1928961468 is about 43919.9438524231. The cubic root of 1928961468 is about 1244.8237075585.

The spelling of 1928961468 in words is "one billion, nine hundred twenty-eight million, nine hundred sixty-one thousand, four hundred sixty-eight".