2052085728 has 288 divisors, whose sum is σ = 7097207040. Its totient is φ = 504299520.

The previous prime is 2052085723. The next prime is 2052085741. The reversal of 2052085728 is 8275802502.

It is a happy number.

It is a super-2 number, since 2×2052085728² = 8422111670122579968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052085723) 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, 2668128 + ... + 2668896.

It is an arithmetic number, because the mean of its divisors is an integer number (24643080).

Almost surely, 2^2052085728 is an apocalyptic number.

2052085728 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 2052085728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548603520).

2052085728 is an abundant number, since it is smaller than the sum of its proper divisors (5045121312).

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

2052085728 is a wasteful number, since it uses less digits than its factorization.

2052085728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 2052085728 is about 45299.9528476576. The cubic root of 2052085728 is about 1270.7647713597.

The spelling of 2052085728 in words is "two billion, fifty-two million, eighty-five thousand, seven hundred twenty-eight".