2728408723461 has 16 divisors (see below), whose sum is σ = 4042354636800. Its totient is φ = 1818818711424.

The previous prime is 2728408723373. The next prime is 2728408723463. The reversal of 2728408723461 is 1643278048272.

2728408723461 is a `hidden beast` number, since 2 + 7 + 2 + 84 + 0 + 87 + 23 + 461 = 666.

It is not a de Polignac number, because 2728408723461 - 2¹⁰ = 2728408722437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2728408723398 and 2728408723407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728408723463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929221 + ... + 3746618.

It is an arithmetic number, because the mean of its divisors is an integer number (252647164800).

Almost surely, 2^{2728408723461} is an apocalyptic number.

It is an amenable number.

2728408723461 is a deficient number, since it is larger than the sum of its proper divisors (1313945913339).

2728408723461 is a wasteful number, since it uses less digits than its factorization.

2728408723461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690985 (or 6690979 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2728408723461 in words is "two trillion, seven hundred twenty-eight billion, four hundred eight million, seven hundred twenty-three thousand, four hundred sixty-one".