2035081728 has 240 divisors, whose sum is σ = 6177651480. Its totient is φ = 644087808.

The previous prime is 2035081723. The next prime is 2035081751. The reversal of 2035081728 is 8271805302.

It can be written as a sum of positive squares in 4 ways, for example, as 1545433344 + 489648384 = 39312^2 + 22128^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2035081692 and 2035081701.

It is not an unprimeable number, because it can be changed into a prime (2035081723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12962226 + ... + 12962382.

Almost surely, 2^2035081728 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 2035081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088825740).

2035081728 is an abundant number, since it is smaller than the sum of its proper divisors (4142569752).

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

2035081728 is a wasteful number, since it uses less digits than its factorization.

2035081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2035081728 is about 45111.8801204295. The cubic root of 2035081728 is about 1267.2450932836.

The spelling of 2035081728 in words is "two billion, thirty-five million, eighty-one thousand, seven hundred twenty-eight".