2758728192 has 320 divisors, whose sum is σ = 8673730560. Its totient is φ = 770457600.

The previous prime is 2758728143. The next prime is 2758728221. The reversal of 2758728192 is 2918278572.

It is a super-2 number, since 2×2758728192² = 15221162474671177728, which contains 22 as substring.

Its product of digits (1128960) is a multiple of the sum of its prime factors (315).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12046734 + ... + 12046962.

It is an arithmetic number, because the mean of its divisors is an integer number (27105408).

Almost surely, 2^2758728192 is an apocalyptic number.

2758728192 is a gapful number since it is divisible by the number (22) 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 2758728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336865280).

2758728192 is an abundant number, since it is smaller than the sum of its proper divisors (5915002368).

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

2758728192 is a wasteful number, since it uses less digits than its factorization.

2758728192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 51.

The square root of 2758728192 is about 52523.5965257521. The cubic root of 2758728192 is about 1402.5003264478.

The spelling of 2758728192 in words is "two billion, seven hundred fifty-eight million, seven hundred twenty-eight thousand, one hundred ninety-two".