1929097916928 has 480 divisors, whose sum is σ = 7212994588800. Its totient is φ = 481993555968.

The previous prime is 1929097916899. The next prime is 1929097916981. The reversal of 1929097916928 is 8296197909291.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7846168 + ... + 8088296.

It is an arithmetic number, because the mean of its divisors is an integer number (15027072060).

Almost surely, 2^{1929097916928} is an apocalyptic number.

1929097916928 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 1929097916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606497294400).

1929097916928 is an abundant number, since it is smaller than the sum of its proper divisors (5283896671872).

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

1929097916928 is a wasteful number, since it uses less digits than its factorization.

1929097916928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242192 (or 242173 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 72.

The spelling of 1929097916928 in words is "one trillion, nine hundred twenty-nine billion, ninety-seven million, nine hundred sixteen thousand, nine hundred twenty-eight".