2075185728 has 336 divisors, whose sum is σ = 7531729920. Its totient is φ = 530611200.

The previous prime is 2075185727. The next prime is 2075185769. The reversal of 2075185728 is 8275815702.

2075185728 is a `hidden beast` number, since 2 + 0 + 75 + 1 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075185727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3148663 + ... + 3149321.

Almost surely, 2^2075185728 is an apocalyptic number.

2075185728 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 2075185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765864960).

2075185728 is an abundant number, since it is smaller than the sum of its proper divisors (5456544192).

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

2075185728 is a wasteful number, since it uses less digits than its factorization.

2075185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 2075185728 is about 45554.2064797533. The cubic root of 2075185728 is about 1275.5152556443.

The spelling of 2075185728 in words is "two billion, seventy-five million, one hundred eighty-five thousand, seven hundred twenty-eight".