2728415309472 has 72 divisors (see below), whose sum is σ = 7834260549024. Its totient is φ = 900641937024.

The previous prime is 2728415309441. The next prime is 2728415309479. The reversal of 2728415309472 is 2749035148272.

2728415309472 is a `hidden beast` number, since 2 + 7 + 28 + 41 + 530 + 9 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2728415309472² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2728415309479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45958998 + ... + 46018325.

It is an arithmetic number, because the mean of its divisors is an integer number (108809174292).

Almost surely, 2^{2728415309472} is an apocalyptic number.

It is an amenable number.

2728415309472 is an abundant number, since it is smaller than the sum of its proper divisors (5105845239552).

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

2728415309472 is a wasteful number, since it uses less digits than its factorization.

2728415309472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91977442 (or 91977431 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2728415309472 in words is "two trillion, seven hundred twenty-eight billion, four hundred fifteen million, three hundred nine thousand, four hundred seventy-two".