2728075252500 has 1440 divisors, whose sum is σ = 10172436578304. Its totient is φ = 610727040000.

The previous prime is 2728075252453. The next prime is 2728075252537. The reversal of 2728075252500 is 52525708272.

2728075252500 is a `hidden beast` number, since 2 + 7 + 28 + 0 + 75 + 2 + 52 + 500 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21480907437 + ... + 21480907563.

Almost surely, 2^{2728075252500} is an apocalyptic number.

2728075252500 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 2728075252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086218289152).

2728075252500 is an abundant number, since it is smaller than the sum of its proper divisors (7444361325804).

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

2728075252500 is a wasteful number, since it uses less digits than its factorization.

2728075252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 2728075252500 in words is "two trillion, seven hundred twenty-eight billion, seventy-five million, two hundred fifty-two thousand, five hundred".