2728452600 has 288 divisors, whose sum is σ = 9814371840. Its totient is φ = 703728000.

The previous prime is 2728452589. The next prime is 2728452653. The reversal of 2728452600 is 62548272.

2728452600 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 45 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1505695 + ... + 1507505.

It is an arithmetic number, because the mean of its divisors is an integer number (34077680).

Almost surely, 2^2728452600 is an apocalyptic number.

2728452600 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 2728452600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907185920).

2728452600 is an abundant number, since it is smaller than the sum of its proper divisors (7085919240).

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

2728452600 is a wasteful number, since it uses less digits than its factorization.

2728452600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2728452600 is about 52234.5919865370. The cubic root of 2728452600 is about 1397.3508747551.

The spelling of 2728452600 in words is "two billion, seven hundred twenty-eight million, four hundred fifty-two thousand, six hundred".