2728510400 has 168 divisors, whose sum is σ = 8370880896. Its totient is φ = 850406400.

The previous prime is 2728510397. The next prime is 2728510417. The reversal of 2728510400 is 40158272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112127 + ... + 134273.

It is an arithmetic number, because the mean of its divisors is an integer number (49826672).

Almost surely, 2^2728510400 is an apocalyptic number.

2728510400 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 2728510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185440448).

2728510400 is an abundant number, since it is smaller than the sum of its proper divisors (5642370496).

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

2728510400 is a wasteful number, since it uses less digits than its factorization.

2728510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22187 (or 22172 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 2728510400 is about 52235.1452568096. The cubic root of 2728510400 is about 1397.3607419243.

Adding to 2728510400 its reverse (40158272), we get a palindrome (2768668672).

The spelling of 2728510400 in words is "two billion, seven hundred twenty-eight million, five hundred ten thousand, four hundred".