2635135728 has 160 divisors (see below), whose sum is σ = 7386027264. Its totient is φ = 806547456.

The previous prime is 2635135649. The next prime is 2635135739. The reversal of 2635135728 is 8275315362.

It is a happy number.

2635135728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2635135728.

It is a congruent number.

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, 8583351 + ... + 8583657.

Almost surely, 2^2635135728 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 2635135728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693013632).

2635135728 is an abundant number, since it is smaller than the sum of its proper divisors (4750891536).

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

2635135728 is a wasteful number, since it uses less digits than its factorization.

2635135728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 2635135728 is about 51333.5731076651. The cubic root of 2635135728 is about 1381.2352812447.

The spelling of 2635135728 in words is "two billion, six hundred thirty-five million, one hundred thirty-five thousand, seven hundred twenty-eight".