1928041029120 has 320 divisors, whose sum is σ = 6194049466176. Its totient is φ = 511621201920.

The previous prime is 1928041029053. The next prime is 1928041029127. The reversal of 1928041029120 is 219201408291.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928041029127) 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, 2249755732 + ... + 2249756588.

Almost surely, 2^{1928041029120} is an apocalyptic number.

1928041029120 is a gapful number since it is divisible by the number (10) 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 1928041029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097024733088).

1928041029120 is an abundant number, since it is smaller than the sum of its proper divisors (4266008437056).

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

1928041029120 is an equidigital number, since it uses as much as digits as its factorization.

1928041029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 1928041029120 in words is "one trillion, nine hundred twenty-eight billion, forty-one million, twenty-nine thousand, one hundred twenty".