1828192920000 has 1120 divisors, whose sum is σ = 6818098510080. Its totient is φ = 429465600000.

The previous prime is 1828192919977. The next prime is 1828192920023. The reversal of 1828192920000 is 292918281.

It is an interprime number because it is at equal distance from previous prime (1828192919977) and next prime (1828192920023).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3914759767 + ... + 3914760233.

Almost surely, 2^{1828192920000} is an apocalyptic number.

1828192920000 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 1828192920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409049255040).

1828192920000 is an abundant number, since it is smaller than the sum of its proper divisors (4989905590080).

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

1828192920000 is a wasteful number, since it uses less digits than its factorization.

1828192920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 1828192920000 in words is "one trillion, eight hundred twenty-eight billion, one hundred ninety-two million, nine hundred twenty thousand".