2728647773040 has 320 divisors, whose sum is σ = 9743401239552. Its totient is φ = 618790502400.

The previous prime is 2728647773023. The next prime is 2728647773057. The reversal of 2728647773040 is 403777468272.

It is an interprime number because it is at equal distance from previous prime (2728647773023) and next prime (2728647773057).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142694680 + ... + 142713800.

Almost surely, 2^{2728647773040} is an apocalyptic number.

2728647773040 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 2728647773040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871700619776).

2728647773040 is an abundant number, since it is smaller than the sum of its proper divisors (7014753466512).

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

2728647773040 is a wasteful number, since it uses less digits than its factorization.

2728647773040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19808 (or 19802 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 57.

The spelling of 2728647773040 in words is "two trillion, seven hundred twenty-eight billion, six hundred forty-seven million, seven hundred seventy-three thousand, forty".