2057068728 has 288 divisors, whose sum is σ = 6770902320. Its totient is φ = 560102400.

The previous prime is 2057068721. The next prime is 2057068747. The reversal of 2057068728 is 8278607502.

2057068728 is a `hidden beast` number, since 2 + 0 + 570 + 6 + 8 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057068721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4643275 + ... + 4643717.

Almost surely, 2^2057068728 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 2057068728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385451160).

2057068728 is an abundant number, since it is smaller than the sum of its proper divisors (4713833592).

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

2057068728 is a wasteful number, since it uses less digits than its factorization.

2057068728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2057068728 is about 45354.9195567581. The cubic root of 2057068728 is about 1271.7925228231.

It can be divided in two parts, 20570 and 68728, that added together give a palindrome (89298).

The spelling of 2057068728 in words is "two billion, fifty-seven million, sixty-eight thousand, seven hundred twenty-eight".