2728169421120 has 1512 divisors, whose sum is σ = 11364574378248. Its totient is φ = 596682915840.

The previous prime is 2728169421119. The next prime is 2728169421161. The reversal of 2728169421120 is 211249618272.

2728169421120 is a `hidden beast` number, since 2 + 72 + 81 + 69 + 421 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 350331404544 + 2377838016576 = 591888^2 + 1542024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15769765354 + ... + 15769765526.

Almost surely, 2^{2728169421120} is an apocalyptic number.

2728169421120 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 2728169421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682287189124).

2728169421120 is an abundant number, since it is smaller than the sum of its proper divisors (8636404957128).

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

2728169421120 is a wasteful number, since it uses less digits than its factorization.

2728169421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2728169421120 in words is "two trillion, seven hundred twenty-eight billion, one hundred sixty-nine million, four hundred twenty-one thousand, one hundred twenty".