16928819424 has 384 divisors, whose sum is σ = 57081024000. Its totient is φ = 4827340800.

The previous prime is 16928819423. The next prime is 16928819431. The reversal of 16928819424 is 42491882961.

It is a happy number.

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 (16928819423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43518622 + ... + 43519010.

It is an arithmetic number, because the mean of its divisors is an integer number (148648500).

Almost surely, 2^16928819424 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 16928819424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540512000).

16928819424 is an abundant number, since it is smaller than the sum of its proper divisors (40152204576).

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

16928819424 is a wasteful number, since it uses less digits than its factorization.

16928819424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 16928819424 in words is "sixteen billion, nine hundred twenty-eight million, eight hundred nineteen thousand, four hundred twenty-four".