2728026746880 has 832 divisors, whose sum is σ = 9341671680000. Its totient is φ = 678288162816.

The previous prime is 2728026746869. The next prime is 2728026746897. The reversal of 2728026746880 is 886476208272.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13708677021 + ... + 13708677219.

Almost surely, 2^{2728026746880} is an apocalyptic number.

2728026746880 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 2728026746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670835840000).

2728026746880 is an abundant number, since it is smaller than the sum of its proper divisors (6613644933120).

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

2728026746880 is a wasteful number, since it uses less digits than its factorization.

2728026746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 2728026746880 in words is "two trillion, seven hundred twenty-eight billion, twenty-six million, seven hundred forty-six thousand, eight hundred eighty".