3028008960000 has 1080 divisors, whose sum is σ = 11522411679240. Its totient is φ = 785645568000.

The previous prime is 3028008959959. The next prime is 3028008960007. The reversal of 3028008960000 is 698008203.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3028008960007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81838079982 + ... + 81838080018.

It is an arithmetic number, because the mean of its divisors is an integer number (10668899703).

Almost surely, 2^{3028008960000} is an apocalyptic number.

3028008960000 is a gapful number since it is divisible by the number (30) 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 3028008960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761205839620).

3028008960000 is an abundant number, since it is smaller than the sum of its proper divisors (8494402719240).

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

3028008960000 is an frugal number, since it uses more digits than its factorization.

3028008960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3028008960000 in words is "three trillion, twenty-eight billion, eight million, nine hundred sixty thousand".