1928416896 has 384 divisors, whose sum is σ = 6977093760. Its totient is φ = 517570560.

The previous prime is 1928416891. The next prime is 1928416921. The reversal of 1928416896 is 6986148291.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928416891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701116 + ... + 3701636.

It is an arithmetic number, because the mean of its divisors is an integer number (18169515).

Almost surely, 2^1928416896 is an apocalyptic number.

1928416896 is a gapful number since it is divisible by the number (16) 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 1928416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488546880).

1928416896 is an abundant number, since it is smaller than the sum of its proper divisors (5048676864).

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

1928416896 is an equidigital number, since it uses as much as digits as its factorization.

1928416896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 550 counting only the distinct ones).

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

The square root of 1928416896 is about 43913.7438167141. The cubic root of 1928416896 is about 1244.7065529911.

The spelling of 1928416896 in words is "one billion, nine hundred twenty-eight million, four hundred sixteen thousand, eight hundred ninety-six".