2728372608 has 288 divisors, whose sum is σ = 8922972240. Its totient is φ = 793976832.

The previous prime is 2728372601. The next prime is 2728372627. The reversal of 2728372608 is 8062738272.

2728372608 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 37 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2728372608³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728372601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30655828 + ... + 30655916.

Almost surely, 2^2728372608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728372608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461486120).

2728372608 is an abundant number, since it is smaller than the sum of its proper divisors (6194599632).

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

2728372608 is a wasteful number, since it uses less digits than its factorization.

2728372608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2728372608 is about 52233.8262814433. The cubic root of 2728372608 is about 1397.3372189094.

The spelling of 2728372608 in words is "two billion, seven hundred twenty-eight million, three hundred seventy-two thousand, six hundred eight".