2728017501696 has 480 divisors, whose sum is σ = 8626637859840. Its totient is φ = 859248746496.

The previous prime is 2728017501679. The next prime is 2728017501751. The reversal of 2728017501696 is 6961057108272.

2728017501696 is a `hidden beast` number, since 2 + 72 + 8 + 0 + 1 + 7 + 501 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169570965 + ... + 169587051.

It is an arithmetic number, because the mean of its divisors is an integer number (17972162208).

Almost surely, 2^{2728017501696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728017501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313318929920).

2728017501696 is an abundant number, since it is smaller than the sum of its proper divisors (5898620358144).

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

2728017501696 is an equidigital number, since it uses as much as digits as its factorization.

2728017501696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16196 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 2728017501696 in words is "two trillion, seven hundred twenty-eight billion, seventeen million, five hundred one thousand, six hundred ninety-six".