2728760288976 has 320 divisors, whose sum is σ = 8013842636800. Its totient is φ = 888852787200.

The previous prime is 2728760288957. The next prime is 2728760288977. The reversal of 2728760288976 is 6798820678272.

2728760288976 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 7 + 602 + 8 + 8 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×2728760288976² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728760288977) 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, 1082410596 + ... + 1082413116.

It is an arithmetic number, because the mean of its divisors is an integer number (25043258240).

Almost surely, 2^{2728760288976} 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 2728760288976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006921318400).

2728760288976 is an abundant number, since it is smaller than the sum of its proper divisors (5285082347824).

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

2728760288976 is a wasteful number, since it uses less digits than its factorization.

2728760288976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 2728760288976 in words is "two trillion, seven hundred twenty-eight billion, seven hundred sixty million, two hundred eighty-eight thousand, nine hundred seventy-six".