2752610028 has 96 divisors (see below), whose sum is σ = 7783641600. Its totient is φ = 739570176.

The previous prime is 2752610017. The next prime is 2752610039. The reversal of 2752610028 is 8200162572.

2752610028 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2752610017) and next prime (2752610039).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212358 + ... + 224946.

It is an arithmetic number, because the mean of its divisors is an integer number (81079600).

Almost surely, 2^2752610028 is an apocalyptic number.

2752610028 is a gapful number since it is divisible by the number (28) 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 2752610028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891820800).

2752610028 is an abundant number, since it is smaller than the sum of its proper divisors (5031031572).

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

2752610028 is a wasteful number, since it uses less digits than its factorization.

2752610028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12759 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2752610028 is about 52465.3221471097. The cubic root of 2752610028 is about 1401.4627616071.

The spelling of 2752610028 in words is "two billion, seven hundred fifty-two million, six hundred ten thousand, twenty-eight".