2628072733000 has 256 divisors, whose sum is σ = 7237732320000. Its totient is φ = 880572672000.

The previous prime is 2628072732973. The next prime is 2628072733001. The reversal of 2628072733000 is 3372708262.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2628072733001) 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, 81350851 + ... + 81383149.

It is an arithmetic number, because the mean of its divisors is an integer number (28272391875).

Almost surely, 2^{2628072733000} is an apocalyptic number.

2628072733000 is a gapful number since it is divisible by the number (20) 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 2628072733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618866160000).

2628072733000 is an abundant number, since it is smaller than the sum of its proper divisors (4609659587000).

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

2628072733000 is a wasteful number, since it uses less digits than its factorization.

2628072733000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32913 (or 32899 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 2628072733000 in words is "two trillion, six hundred twenty-eight billion, seventy-two million, seven hundred thirty-three thousand".